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Simplifying 9(b + -4) = 5(b + -2) Reorder the terms: 9(-4 + b) = 5(b + -2) (-4 * 9 + b * 9) = 5(b + -2) (-36 + 9b) = 5(b + -2) Reorder the terms: -36 + 9b = 5(-2 + b) -36 + 9b = (-2 * 5 + b * 5) -36 + 9b = (-10 + 5b) Solving -36 + 9b = -10 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. -36 + 9b + -5b = -10 + 5b + -5b Combine like terms: 9b + -5b = 4b -36 + 4b = -10 + 5b + -5b Combine like terms: 5b + -5b = 0 -36 + 4b = -10 + 0 -36 + 4b = -10 Add '36' to each side of the equation. -36 + 36 + 4b = -10 + 36 Combine like terms: -36 + 36 = 0 0 + 4b = -10 + 36 4b = -10 + 36 Combine like terms: -10 + 36 = 26 4b = 26 Divide each side by '4'. b = 6.5 Simplifying b = 6.5
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