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Simplifying 7(b + 2) = 9(b + -4) Reorder the terms: 7(2 + b) = 9(b + -4) (2 * 7 + b * 7) = 9(b + -4) (14 + 7b) = 9(b + -4) Reorder the terms: 14 + 7b = 9(-4 + b) 14 + 7b = (-4 * 9 + b * 9) 14 + 7b = (-36 + 9b) Solving 14 + 7b = -36 + 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. 14 + 7b + -9b = -36 + 9b + -9b Combine like terms: 7b + -9b = -2b 14 + -2b = -36 + 9b + -9b Combine like terms: 9b + -9b = 0 14 + -2b = -36 + 0 14 + -2b = -36 Add '-14' to each side of the equation. 14 + -14 + -2b = -36 + -14 Combine like terms: 14 + -14 = 0 0 + -2b = -36 + -14 -2b = -36 + -14 Combine like terms: -36 + -14 = -50 -2b = -50 Divide each side by '-2'. b = 25 Simplifying b = 25
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