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Simplifying 6(5m + -10) = 4(7m + -9) Reorder the terms: 6(-10 + 5m) = 4(7m + -9) (-10 * 6 + 5m * 6) = 4(7m + -9) (-60 + 30m) = 4(7m + -9) Reorder the terms: -60 + 30m = 4(-9 + 7m) -60 + 30m = (-9 * 4 + 7m * 4) -60 + 30m = (-36 + 28m) Solving -60 + 30m = -36 + 28m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-28m' to each side of the equation. -60 + 30m + -28m = -36 + 28m + -28m Combine like terms: 30m + -28m = 2m -60 + 2m = -36 + 28m + -28m Combine like terms: 28m + -28m = 0 -60 + 2m = -36 + 0 -60 + 2m = -36 Add '60' to each side of the equation. -60 + 60 + 2m = -36 + 60 Combine like terms: -60 + 60 = 0 0 + 2m = -36 + 60 2m = -36 + 60 Combine like terms: -36 + 60 = 24 2m = 24 Divide each side by '2'. m = 12 Simplifying m = 12
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