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Simplifying 1.5(b + 2) = 2b + -9 + 15 Reorder the terms: 1.5(2 + b) = 2b + -9 + 15 (2 * 1.5 + b * 1.5) = 2b + -9 + 15 (3 + 1.5b) = 2b + -9 + 15 Reorder the terms: 3 + 1.5b = -9 + 15 + 2b Combine like terms: -9 + 15 = 6 3 + 1.5b = 6 + 2b Solving 3 + 1.5b = 6 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 3 + 1.5b + -2b = 6 + 2b + -2b Combine like terms: 1.5b + -2b = -0.5b 3 + -0.5b = 6 + 2b + -2b Combine like terms: 2b + -2b = 0 3 + -0.5b = 6 + 0 3 + -0.5b = 6 Add '-3' to each side of the equation. 3 + -3 + -0.5b = 6 + -3 Combine like terms: 3 + -3 = 0 0 + -0.5b = 6 + -3 -0.5b = 6 + -3 Combine like terms: 6 + -3 = 3 -0.5b = 3 Divide each side by '-0.5'. b = -6 Simplifying b = -6
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