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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 + 15 + 1.5b = 2b + -9 Combine like terms: 3 + 15 = 18 18 + 1.5b = 2b + -9 Reorder the terms: 18 + 1.5b = -9 + 2b Solving 18 + 1.5b = -9 + 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. 18 + 1.5b + -2b = -9 + 2b + -2b Combine like terms: 1.5b + -2b = -0.5b 18 + -0.5b = -9 + 2b + -2b Combine like terms: 2b + -2b = 0 18 + -0.5b = -9 + 0 18 + -0.5b = -9 Add '-18' to each side of the equation. 18 + -18 + -0.5b = -9 + -18 Combine like terms: 18 + -18 = 0 0 + -0.5b = -9 + -18 -0.5b = -9 + -18 Combine like terms: -9 + -18 = -27 -0.5b = -27 Divide each side by '-0.5'. b = 54 Simplifying b = 54
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