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Simplifying 9(2m + -4) = 5(4m + -6) Reorder the terms: 9(-4 + 2m) = 5(4m + -6) (-4 * 9 + 2m * 9) = 5(4m + -6) (-36 + 18m) = 5(4m + -6) Reorder the terms: -36 + 18m = 5(-6 + 4m) -36 + 18m = (-6 * 5 + 4m * 5) -36 + 18m = (-30 + 20m) Solving -36 + 18m = -30 + 20m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-20m' to each side of the equation. -36 + 18m + -20m = -30 + 20m + -20m Combine like terms: 18m + -20m = -2m -36 + -2m = -30 + 20m + -20m Combine like terms: 20m + -20m = 0 -36 + -2m = -30 + 0 -36 + -2m = -30 Add '36' to each side of the equation. -36 + 36 + -2m = -30 + 36 Combine like terms: -36 + 36 = 0 0 + -2m = -30 + 36 -2m = -30 + 36 Combine like terms: -30 + 36 = 6 -2m = 6 Divide each side by '-2'. m = -3 Simplifying m = -3
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