Question

Help.. solve for the given variable -5(r - 6) + 3(-8 + 8r) = -32

Answer 1

Solve for r by simplifying both sides of the equation,then isolating the variable.
r = -2

Answer 2

-5(r - 6) + 3(-8 + 8r) = -32

STEP 1: Simplify both sides of the equation.
(−5)(r)+(−5)(−6)+(3)(−8)+(3)(8r)=−32 (Distribute)
−5r+30+−24+24r=−32(−5r+24r)+(30+−24)=−32 (Combine Like Terms)
19r+6=−3219r+6=−32

STEP 2: Subtract 6 from both sides.
19r+6−6=−32−619r=−38

STEP 3: Divide both sides by 19.
19r/19 = -38/19
r = -2

FINAL ANSWER: r  = -2