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Simplifying 45 = 9(b + 15) Reorder the terms: 45 = 9(15 + b) 45 = (15 * 9 + b * 9) 45 = (135 + 9b) Solving 45 = 135 + 9b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-9b' to each side of the equation. 45 + -9b = 135 + 9b + -9b Combine like terms: 9b + -9b = 0 45 + -9b = 135 + 0 45 + -9b = 135 Add '-45' to each side of the equation. 45 + -45 + -9b = 135 + -45 Combine like terms: 45 + -45 = 0 0 + -9b = 135 + -45 -9b = 135 + -45 Combine like terms: 135 + -45 = 90 -9b = 90 Divide each side by '-9'. b = -10 Simplifying b = -10
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