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Simplifying 1.5(b + 2) + (2b + -9) + 15 = b Reorder the terms: 1.5(2 + b) + (2b + -9) + 15 = b (2 * 1.5 + b * 1.5) + (2b + -9) + 15 = b (3 + 1.5b) + (2b + -9) + 15 = b Reorder the terms: 3 + 1.5b + (-9 + 2b) + 15 = b Remove parenthesis around (-9 + 2b) 3 + 1.5b + -9 + 2b + 15 = b Reorder the terms: 3 + -9 + 15 + 1.5b + 2b = b Combine like terms: 3 + -9 = -6 -6 + 15 + 1.5b + 2b = b Combine like terms: -6 + 15 = 9 9 + 1.5b + 2b = b Combine like terms: 1.5b + 2b = 3.5b 9 + 3.5b = b Solving 9 + 3.5b = b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 9 + 3.5b + -1b = b + -1b Combine like terms: 3.5b + -1b = 2.5b 9 + 2.5b = b + -1b Combine like terms: b + -1b = 0 9 + 2.5b = 0 Add '-9' to each side of the equation. 9 + -9 + 2.5b = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2.5b = 0 + -9 2.5b = 0 + -9 Combine like terms: 0 + -9 = -9 2.5b = -9 Divide each side by '2.5'. b = -3.6 Simplifying b = -3.6
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