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Simplifying -9(3b + -15) = 6(2b + 5) Reorder the terms: -9(-15 + 3b) = 6(2b + 5) (-15 * -9 + 3b * -9) = 6(2b + 5) (135 + -27b) = 6(2b + 5) Reorder the terms: 135 + -27b = 6(5 + 2b) 135 + -27b = (5 * 6 + 2b * 6) 135 + -27b = (30 + 12b) Solving 135 + -27b = 30 + 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. 135 + -27b + -12b = 30 + 12b + -12b Combine like terms: -27b + -12b = -39b 135 + -39b = 30 + 12b + -12b Combine like terms: 12b + -12b = 0 135 + -39b = 30 + 0 135 + -39b = 30 Add '-135' to each side of the equation. 135 + -135 + -39b = 30 + -135 Combine like terms: 135 + -135 = 0 0 + -39b = 30 + -135 -39b = 30 + -135 Combine like terms: 30 + -135 = -105 -39b = -105 Divide each side by '-39'. b = 2.692307692 Simplifying b = 2.692307692
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