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Simplifying 12(8b + -8) = -2(7 + -7b) Reorder the terms: 12(-8 + 8b) = -2(7 + -7b) (-8 * 12 + 8b * 12) = -2(7 + -7b) (-96 + 96b) = -2(7 + -7b) -96 + 96b = (7 * -2 + -7b * -2) -96 + 96b = (-14 + 14b) Solving -96 + 96b = -14 + 14b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-14b' to each side of the equation. -96 + 96b + -14b = -14 + 14b + -14b Combine like terms: 96b + -14b = 82b -96 + 82b = -14 + 14b + -14b Combine like terms: 14b + -14b = 0 -96 + 82b = -14 + 0 -96 + 82b = -14 Add '96' to each side of the equation. -96 + 96 + 82b = -14 + 96 Combine like terms: -96 + 96 = 0 0 + 82b = -14 + 96 82b = -14 + 96 Combine like terms: -14 + 96 = 82 82b = 82 Divide each side by '82'. b = 1 Simplifying b = 1
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