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Simplifying 3m + 6 + -2(4m + 10) = 2m + -4 Reorder the terms: 3m + 6 + -2(10 + 4m) = 2m + -4 3m + 6 + (10 * -2 + 4m * -2) = 2m + -4 3m + 6 + (-20 + -8m) = 2m + -4 Reorder the terms: 6 + -20 + 3m + -8m = 2m + -4 Combine like terms: 6 + -20 = -14 -14 + 3m + -8m = 2m + -4 Combine like terms: 3m + -8m = -5m -14 + -5m = 2m + -4 Reorder the terms: -14 + -5m = -4 + 2m Solving -14 + -5m = -4 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. -14 + -5m + -2m = -4 + 2m + -2m Combine like terms: -5m + -2m = -7m -14 + -7m = -4 + 2m + -2m Combine like terms: 2m + -2m = 0 -14 + -7m = -4 + 0 -14 + -7m = -4 Add '14' to each side of the equation. -14 + 14 + -7m = -4 + 14 Combine like terms: -14 + 14 = 0 0 + -7m = -4 + 14 -7m = -4 + 14 Combine like terms: -4 + 14 = 10 -7m = 10 Divide each side by '-7'. m = -1.428571429 Simplifying m = -1.428571429
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