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Simplifying 9(b + -4) = 5(3b + -2) Reorder the terms: 9(-4 + b) = 5(3b + -2) (-4 * 9 + b * 9) = 5(3b + -2) (-36 + 9b) = 5(3b + -2) Reorder the terms: -36 + 9b = 5(-2 + 3b) -36 + 9b = (-2 * 5 + 3b * 5) -36 + 9b = (-10 + 15b) Solving -36 + 9b = -10 + 15b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-15b' to each side of the equation. -36 + 9b + -15b = -10 + 15b + -15b Combine like terms: 9b + -15b = -6b -36 + -6b = -10 + 15b + -15b Combine like terms: 15b + -15b = 0 -36 + -6b = -10 + 0 -36 + -6b = -10 Add '36' to each side of the equation. -36 + 36 + -6b = -10 + 36 Combine like terms: -36 + 36 = 0 0 + -6b = -10 + 36 -6b = -10 + 36 Combine like terms: -10 + 36 = 26 -6b = 26 Divide each side by '-6'. b = -4.333333333 Simplifying b = -4.333333333
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