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Simplifying 14m + -3(2m + -5) = 7m + -6 + -2m Reorder the terms: 14m + -3(-5 + 2m) = 7m + -6 + -2m 14m + (-5 * -3 + 2m * -3) = 7m + -6 + -2m 14m + (15 + -6m) = 7m + -6 + -2m Reorder the terms: 15 + 14m + -6m = 7m + -6 + -2m Combine like terms: 14m + -6m = 8m 15 + 8m = 7m + -6 + -2m Reorder the terms: 15 + 8m = -6 + 7m + -2m Combine like terms: 7m + -2m = 5m 15 + 8m = -6 + 5m Solving 15 + 8m = -6 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 15 + 8m + -5m = -6 + 5m + -5m Combine like terms: 8m + -5m = 3m 15 + 3m = -6 + 5m + -5m Combine like terms: 5m + -5m = 0 15 + 3m = -6 + 0 15 + 3m = -6 Add '-15' to each side of the equation. 15 + -15 + 3m = -6 + -15 Combine like terms: 15 + -15 = 0 0 + 3m = -6 + -15 3m = -6 + -15 Combine like terms: -6 + -15 = -21 3m = -21 Divide each side by '3'. m = -7 Simplifying m = -7
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