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Simplifying -11(1 + 5b) = -3(12b + -9) (1 * -11 + 5b * -11) = -3(12b + -9) (-11 + -55b) = -3(12b + -9) Reorder the terms: -11 + -55b = -3(-9 + 12b) -11 + -55b = (-9 * -3 + 12b * -3) -11 + -55b = (27 + -36b) Solving -11 + -55b = 27 + -36b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '36b' to each side of the equation. -11 + -55b + 36b = 27 + -36b + 36b Combine like terms: -55b + 36b = -19b -11 + -19b = 27 + -36b + 36b Combine like terms: -36b + 36b = 0 -11 + -19b = 27 + 0 -11 + -19b = 27 Add '11' to each side of the equation. -11 + 11 + -19b = 27 + 11 Combine like terms: -11 + 11 = 0 0 + -19b = 27 + 11 -19b = 27 + 11 Combine like terms: 27 + 11 = 38 -19b = 38 Divide each side by '-19'. b = -2 Simplifying b = -2
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