Question

how many solutions does this equation have? 20d + 16 = -20d - 8(-5d - 2) no solution one solution infinitely many solutions

Explanation:

Step1: Expand the right-hand side

$20d + 16 = -20d - 8(-5d) - 8(-2)$
$20d + 16 = -20d + 40d + 16$

Step2: Simplify like terms on RHS

$20d + 16 = 20d + 16$

Step3: Subtract $20d+16$ from both sides

$20d + 16 - (20d + 16) = 20d + 16 - (20d + 16)$
$0 = 0$

Answer:

infinitely many solutions