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Simplifying -3(11b + 7) = -12(2b + -8) Reorder the terms: -3(7 + 11b) = -12(2b + -8) (7 * -3 + 11b * -3) = -12(2b + -8) (-21 + -33b) = -12(2b + -8) Reorder the terms: -21 + -33b = -12(-8 + 2b) -21 + -33b = (-8 * -12 + 2b * -12) -21 + -33b = (96 + -24b) Solving -21 + -33b = 96 + -24b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '24b' to each side of the equation. -21 + -33b + 24b = 96 + -24b + 24b Combine like terms: -33b + 24b = -9b -21 + -9b = 96 + -24b + 24b Combine like terms: -24b + 24b = 0 -21 + -9b = 96 + 0 -21 + -9b = 96 Add '21' to each side of the equation. -21 + 21 + -9b = 96 + 21 Combine like terms: -21 + 21 = 0 0 + -9b = 96 + 21 -9b = 96 + 21 Combine like terms: 96 + 21 = 117 -9b = 117 Divide each side by '-9'. b = -13 Simplifying b = -13
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