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Simplifying 1.5(b + 2) = 15(2b + -9) Reorder the terms: 1.5(2 + b) = 15(2b + -9) (2 * 1.5 + b * 1.5) = 15(2b + -9) (3 + 1.5b) = 15(2b + -9) Reorder the terms: 3 + 1.5b = 15(-9 + 2b) 3 + 1.5b = (-9 * 15 + 2b * 15) 3 + 1.5b = (-135 + 30b) Solving 3 + 1.5b = -135 + 30b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-30b' to each side of the equation. 3 + 1.5b + -30b = -135 + 30b + -30b Combine like terms: 1.5b + -30b = -28.5b 3 + -28.5b = -135 + 30b + -30b Combine like terms: 30b + -30b = 0 3 + -28.5b = -135 + 0 3 + -28.5b = -135 Add '-3' to each side of the equation. 3 + -3 + -28.5b = -135 + -3 Combine like terms: 3 + -3 = 0 0 + -28.5b = -135 + -3 -28.5b = -135 + -3 Combine like terms: -135 + -3 = -138 -28.5b = -138 Divide each side by '-28.5'. b = 4.842105263 Simplifying b = 4.842105263
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