## Algebra 1: Common Core (15th Edition)

$g=\frac{7}{6}$
$5g-20+12g=1-g$ (Distributive Property: Combine like terms on each side) $17g-20=1-g$ (Addition Property of Equality: Add g to each side) $18g-20=1$ (Addition Property of Equality: Add 20 to each side) $18g=21$ (Division Property of Equality: Divide each side by 18) $g=\frac{21}{18}$ (Simplify) $g=\frac{7}{6}$ (Check answer by substituting solution back into the original equation and simplifying.) $5\times\frac{7}{6}+4(-5+3\times\frac{7}{6})=1-\frac{7}{6}$ (Multiply by the least common denominator 6) $5\times7+24(-5+\frac{7}{2})=6-7$ (Simplify) $35-120+84=-1$ $-1=-1$