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Simplifying 15(b + 1) = 3b + -45 Reorder the terms: 15(1 + b) = 3b + -45 (1 * 15 + b * 15) = 3b + -45 (15 + 15b) = 3b + -45 Reorder the terms: 15 + 15b = -45 + 3b Solving 15 + 15b = -45 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 15 + 15b + -3b = -45 + 3b + -3b Combine like terms: 15b + -3b = 12b 15 + 12b = -45 + 3b + -3b Combine like terms: 3b + -3b = 0 15 + 12b = -45 + 0 15 + 12b = -45 Add '-15' to each side of the equation. 15 + -15 + 12b = -45 + -15 Combine like terms: 15 + -15 = 0 0 + 12b = -45 + -15 12b = -45 + -15 Combine like terms: -45 + -15 = -60 12b = -60 Divide each side by '12'. b = -5 Simplifying b = -5
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