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Simplifying 4(3m + -14) = 7m + -6 Reorder the terms: 4(-14 + 3m) = 7m + -6 (-14 * 4 + 3m * 4) = 7m + -6 (-56 + 12m) = 7m + -6 Reorder the terms: -56 + 12m = -6 + 7m Solving -56 + 12m = -6 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. -56 + 12m + -7m = -6 + 7m + -7m Combine like terms: 12m + -7m = 5m -56 + 5m = -6 + 7m + -7m Combine like terms: 7m + -7m = 0 -56 + 5m = -6 + 0 -56 + 5m = -6 Add '56' to each side of the equation. -56 + 56 + 5m = -6 + 56 Combine like terms: -56 + 56 = 0 0 + 5m = -6 + 56 5m = -6 + 56 Combine like terms: -6 + 56 = 50 5m = 50 Divide each side by '5'. m = 10 Simplifying m = 10
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