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Simplifying 11(12 + -7b) = -8(9b + -4) (12 * 11 + -7b * 11) = -8(9b + -4) (132 + -77b) = -8(9b + -4) Reorder the terms: 132 + -77b = -8(-4 + 9b) 132 + -77b = (-4 * -8 + 9b * -8) 132 + -77b = (32 + -72b) Solving 132 + -77b = 32 + -72b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '72b' to each side of the equation. 132 + -77b + 72b = 32 + -72b + 72b Combine like terms: -77b + 72b = -5b 132 + -5b = 32 + -72b + 72b Combine like terms: -72b + 72b = 0 132 + -5b = 32 + 0 132 + -5b = 32 Add '-132' to each side of the equation. 132 + -132 + -5b = 32 + -132 Combine like terms: 132 + -132 = 0 0 + -5b = 32 + -132 -5b = 32 + -132 Combine like terms: 32 + -132 = -100 -5b = -100 Divide each side by '-5'. b = 20 Simplifying b = 20
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