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Simplifying 1.5(b + 2) + b = 15(2b + -2) Reorder the terms: 1.5(2 + b) + b = 15(2b + -2) (2 * 1.5 + b * 1.5) + b = 15(2b + -2) (3 + 1.5b) + b = 15(2b + -2) Combine like terms: 1.5b + b = 2.5b 3 + 2.5b = 15(2b + -2) Reorder the terms: 3 + 2.5b = 15(-2 + 2b) 3 + 2.5b = (-2 * 15 + 2b * 15) 3 + 2.5b = (-30 + 30b) Solving 3 + 2.5b = -30 + 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 + 2.5b + -30b = -30 + 30b + -30b Combine like terms: 2.5b + -30b = -27.5b 3 + -27.5b = -30 + 30b + -30b Combine like terms: 30b + -30b = 0 3 + -27.5b = -30 + 0 3 + -27.5b = -30 Add '-3' to each side of the equation. 3 + -3 + -27.5b = -30 + -3 Combine like terms: 3 + -3 = 0 0 + -27.5b = -30 + -3 -27.5b = -30 + -3 Combine like terms: -30 + -3 = -33 -27.5b = -33 Divide each side by '-27.5'. b = 1.2 Simplifying b = 1.2
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