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Simplifying -2b + 12b = -11(8b + 10) + -6(7b + 5) Combine like terms: -2b + 12b = 10b 10b = -11(8b + 10) + -6(7b + 5) Reorder the terms: 10b = -11(10 + 8b) + -6(7b + 5) 10b = (10 * -11 + 8b * -11) + -6(7b + 5) 10b = (-110 + -88b) + -6(7b + 5) Reorder the terms: 10b = -110 + -88b + -6(5 + 7b) 10b = -110 + -88b + (5 * -6 + 7b * -6) 10b = -110 + -88b + (-30 + -42b) Reorder the terms: 10b = -110 + -30 + -88b + -42b Combine like terms: -110 + -30 = -140 10b = -140 + -88b + -42b Combine like terms: -88b + -42b = -130b 10b = -140 + -130b Solving 10b = -140 + -130b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '130b' to each side of the equation. 10b + 130b = -140 + -130b + 130b Combine like terms: 10b + 130b = 140b 140b = -140 + -130b + 130b Combine like terms: -130b + 130b = 0 140b = -140 + 0 140b = -140 Divide each side by '140'. b = -1 Simplifying b = -1
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