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Simplifying 12(5b + 8) + 12b = 8(7b + -10) Reorder the terms: 12(8 + 5b) + 12b = 8(7b + -10) (8 * 12 + 5b * 12) + 12b = 8(7b + -10) (96 + 60b) + 12b = 8(7b + -10) Combine like terms: 60b + 12b = 72b 96 + 72b = 8(7b + -10) Reorder the terms: 96 + 72b = 8(-10 + 7b) 96 + 72b = (-10 * 8 + 7b * 8) 96 + 72b = (-80 + 56b) Solving 96 + 72b = -80 + 56b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-56b' to each side of the equation. 96 + 72b + -56b = -80 + 56b + -56b Combine like terms: 72b + -56b = 16b 96 + 16b = -80 + 56b + -56b Combine like terms: 56b + -56b = 0 96 + 16b = -80 + 0 96 + 16b = -80 Add '-96' to each side of the equation. 96 + -96 + 16b = -80 + -96 Combine like terms: 96 + -96 = 0 0 + 16b = -80 + -96 16b = -80 + -96 Combine like terms: -80 + -96 = -176 16b = -176 Divide each side by '16'. b = -11 Simplifying b = -11
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