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Simplifying -1(3b + -15) = 6(2b + 5)(12) Reorder the terms: -1(-15 + 3b) = 6(2b + 5)(12) (-15 * -1 + 3b * -1) = 6(2b + 5)(12) (15 + -3b) = 6(2b + 5)(12) Reorder the terms: 15 + -3b = 6(5 + 2b)(12) Reorder the terms for easier multiplication: 15 + -3b = 6 * 12(5 + 2b) Multiply 6 * 12 15 + -3b = 72(5 + 2b) 15 + -3b = (5 * 72 + 2b * 72) 15 + -3b = (360 + 144b) Solving 15 + -3b = 360 + 144b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-144b' to each side of the equation. 15 + -3b + -144b = 360 + 144b + -144b Combine like terms: -3b + -144b = -147b 15 + -147b = 360 + 144b + -144b Combine like terms: 144b + -144b = 0 15 + -147b = 360 + 0 15 + -147b = 360 Add '-15' to each side of the equation. 15 + -15 + -147b = 360 + -15 Combine like terms: 15 + -15 = 0 0 + -147b = 360 + -15 -147b = 360 + -15 Combine like terms: 360 + -15 = 345 -147b = 345 Divide each side by '-147'. b = -2.346938776 Simplifying b = -2.346938776
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