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Simplifying 9(b + -4) + -76 = 5(3b + -2) Reorder the terms: 9(-4 + b) + -76 = 5(3b + -2) (-4 * 9 + b * 9) + -76 = 5(3b + -2) (-36 + 9b) + -76 = 5(3b + -2) Reorder the terms: -36 + -76 + 9b = 5(3b + -2) Combine like terms: -36 + -76 = -112 -112 + 9b = 5(3b + -2) Reorder the terms: -112 + 9b = 5(-2 + 3b) -112 + 9b = (-2 * 5 + 3b * 5) -112 + 9b = (-10 + 15b) Solving -112 + 9b = -10 + 15b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-15b' to each side of the equation. -112 + 9b + -15b = -10 + 15b + -15b Combine like terms: 9b + -15b = -6b -112 + -6b = -10 + 15b + -15b Combine like terms: 15b + -15b = 0 -112 + -6b = -10 + 0 -112 + -6b = -10 Add '112' to each side of the equation. -112 + 112 + -6b = -10 + 112 Combine like terms: -112 + 112 = 0 0 + -6b = -10 + 112 -6b = -10 + 112 Combine like terms: -10 + 112 = 102 -6b = 102 Divide each side by '-6'. b = -17 Simplifying b = -17
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