Solve (6m + 15n) - (181 - 12n + 25m) | Equatix - Math Solver

Fractions & Decimals

Ratios & Proportions

Basic Number Theory

Integers & Absolute Values

Factors & Multiples

Prime Factorization

Basic Equations & Inequalities

Coordinate Plane & Graphing

Linear Equations & Inequalities

Quadratic Equations

Polynomials & Factoring

Functions & Graphs

Systems of Equations

Trigonometric Functions

Trigonometric Identities & Equations

Right Triangle Trigonometry

Graphing Trigonometric Functions

Limits & Continuity

Derivatives & Applications

Integrals & Applications

Series & Sequences

Multivariable Calculus

Functions & Graphs

Polynomial & Rational Functions

Exponential & Logarithmic Functions

Sequences & Series

Descriptive Statistics

Normal Distribution

Hypothesis Testing

Regression Analysis

Linear Programming

Sets & Counting

Eigenvalues & Eigenvectors

Linear Transformations

Atomic Structure

Thermochemistry

Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$(6m+15n)-(181-12n+25m)$$

Evaluate

$-19m+27n-181$

Solution Steps

To find the opposite of $181-12n+25m$, find the opposite of each term.

$$6m+15n-181-\left(-12n\right)-25m$$

The opposite of $-12n$ is $12n$.

$$6m+15n-181+12n-25m$$

Combine $15n$ and $12n$ to get $27n$.

$$6m+27n-181-25m$$

Combine $6m$ and $-25m$ to get $-19m$.

$$-19m+27n-181$$

Expand

$-19m+27n-181$

Solution Steps

To find the opposite of $181-12n+25m$, find the opposite of each term.

$$6m+15n-181-\left(-12n\right)-25m$$

The opposite of $-12n$ is $12n$.

$$6m+15n-181+12n-25m$$

Combine $15n$ and $12n$ to get $27n$.

$$6m+27n-181-25m$$

Combine $6m$ and $-25m$ to get $-19m$.

$$-19m+27n-181$$