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Simplifying (7 + -1b) * 1.5 = -2b Reorder the terms for easier multiplication: 1.5(7 + -1b) = -2b (7 * 1.5 + -1b * 1.5) = -2b (10.5 + -1.5b) = -2b Solving 10.5 + -1.5b = -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. 10.5 + -1.5b + 2b = -2b + 2b Combine like terms: -1.5b + 2b = 0.5b 10.5 + 0.5b = -2b + 2b Combine like terms: -2b + 2b = 0 10.5 + 0.5b = 0 Add '-10.5' to each side of the equation. 10.5 + -10.5 + 0.5b = 0 + -10.5 Combine like terms: 10.5 + -10.5 = 0.0 0.0 + 0.5b = 0 + -10.5 0.5b = 0 + -10.5 Combine like terms: 0 + -10.5 = -10.5 0.5b = -10.5 Divide each side by '0.5'. b = -21 Simplifying b = -21
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