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Simplifying -11b + 8(-6b + -2) = 5(-12b + 3) Reorder the terms: -11b + 8(-2 + -6b) = 5(-12b + 3) -11b + (-2 * 8 + -6b * 8) = 5(-12b + 3) -11b + (-16 + -48b) = 5(-12b + 3) Reorder the terms: -16 + -11b + -48b = 5(-12b + 3) Combine like terms: -11b + -48b = -59b -16 + -59b = 5(-12b + 3) Reorder the terms: -16 + -59b = 5(3 + -12b) -16 + -59b = (3 * 5 + -12b * 5) -16 + -59b = (15 + -60b) Solving -16 + -59b = 15 + -60b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '60b' to each side of the equation. -16 + -59b + 60b = 15 + -60b + 60b Combine like terms: -59b + 60b = 1b -16 + 1b = 15 + -60b + 60b Combine like terms: -60b + 60b = 0 -16 + 1b = 15 + 0 -16 + 1b = 15 Add '16' to each side of the equation. -16 + 16 + 1b = 15 + 16 Combine like terms: -16 + 16 = 0 0 + 1b = 15 + 16 1b = 15 + 16 Combine like terms: 15 + 16 = 31 1b = 31 Divide each side by '1'. b = 31 Simplifying b = 31
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