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Simplifying 9(b + -4) = 5(3x + -2) Reorder the terms: 9(-4 + b) = 5(3x + -2) (-4 * 9 + b * 9) = 5(3x + -2) (-36 + 9b) = 5(3x + -2) Reorder the terms: -36 + 9b = 5(-2 + 3x) -36 + 9b = (-2 * 5 + 3x * 5) -36 + 9b = (-10 + 15x) Solving -36 + 9b = -10 + 15x Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 9b = -10 + 36 + 15x Combine like terms: -36 + 36 = 0 0 + 9b = -10 + 36 + 15x 9b = -10 + 36 + 15x Combine like terms: -10 + 36 = 26 9b = 26 + 15x Divide each side by '9'. b = 2.888888889 + 1.666666667x Simplifying b = 2.888888889 + 1.666666667x
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