$$( ( c ) ) 16 = 4 + 3 ( t + 2 )$$
$c=\frac{3t}{16}+\frac{5}{8}$
$$c\times 16=4+3t+6$$
$$c\times 16=10+3t$$
$$16c=3t+10$$
$$\frac{16c}{16}=\frac{3t+10}{16}$$
$$c=\frac{3t+10}{16}$$
$$c=\frac{3t}{16}+\frac{5}{8}$$
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$t=\frac{16c-10}{3}$
$$10+3t=c\times 16$$
$$3t=c\times 16-10$$
$$3t=16c-10$$
$$\frac{3t}{3}=\frac{16c-10}{3}$$
$$t=\frac{16c-10}{3}$$