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Simplifying 5(11b + -2) = -12(b + 12) Reorder the terms: 5(-2 + 11b) = -12(b + 12) (-2 * 5 + 11b * 5) = -12(b + 12) (-10 + 55b) = -12(b + 12) Reorder the terms: -10 + 55b = -12(12 + b) -10 + 55b = (12 * -12 + b * -12) -10 + 55b = (-144 + -12b) Solving -10 + 55b = -144 + -12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '12b' to each side of the equation. -10 + 55b + 12b = -144 + -12b + 12b Combine like terms: 55b + 12b = 67b -10 + 67b = -144 + -12b + 12b Combine like terms: -12b + 12b = 0 -10 + 67b = -144 + 0 -10 + 67b = -144 Add '10' to each side of the equation. -10 + 10 + 67b = -144 + 10 Combine like terms: -10 + 10 = 0 0 + 67b = -144 + 10 67b = -144 + 10 Combine like terms: -144 + 10 = -134 67b = -134 Divide each side by '67'. b = -2 Simplifying b = -2
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