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Simplifying -3(b + 5) = 2(2b + -4) Reorder the terms: -3(5 + b) = 2(2b + -4) (5 * -3 + b * -3) = 2(2b + -4) (-15 + -3b) = 2(2b + -4) Reorder the terms: -15 + -3b = 2(-4 + 2b) -15 + -3b = (-4 * 2 + 2b * 2) -15 + -3b = (-8 + 4b) Solving -15 + -3b = -8 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. -15 + -3b + -4b = -8 + 4b + -4b Combine like terms: -3b + -4b = -7b -15 + -7b = -8 + 4b + -4b Combine like terms: 4b + -4b = 0 -15 + -7b = -8 + 0 -15 + -7b = -8 Add '15' to each side of the equation. -15 + 15 + -7b = -8 + 15 Combine like terms: -15 + 15 = 0 0 + -7b = -8 + 15 -7b = -8 + 15 Combine like terms: -8 + 15 = 7 -7b = 7 Divide each side by '-7'. b = -1 Simplifying b = -1
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