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Simplifying -2m + 14 + -5(m + -1) = 4m + -1(3m + -4) + -6m + 7 Reorder the terms: -2m + 14 + -5(-1 + m) = 4m + -1(3m + -4) + -6m + 7 -2m + 14 + (-1 * -5 + m * -5) = 4m + -1(3m + -4) + -6m + 7 -2m + 14 + (5 + -5m) = 4m + -1(3m + -4) + -6m + 7 Reorder the terms: 14 + 5 + -2m + -5m = 4m + -1(3m + -4) + -6m + 7 Combine like terms: 14 + 5 = 19 19 + -2m + -5m = 4m + -1(3m + -4) + -6m + 7 Combine like terms: -2m + -5m = -7m 19 + -7m = 4m + -1(3m + -4) + -6m + 7 Reorder the terms: 19 + -7m = 4m + -1(-4 + 3m) + -6m + 7 19 + -7m = 4m + (-4 * -1 + 3m * -1) + -6m + 7 19 + -7m = 4m + (4 + -3m) + -6m + 7 Reorder the terms: 19 + -7m = 4 + 7 + 4m + -3m + -6m Combine like terms: 4 + 7 = 11 19 + -7m = 11 + 4m + -3m + -6m Combine like terms: 4m + -3m = 1m 19 + -7m = 11 + 1m + -6m Combine like terms: 1m + -6m = -5m 19 + -7m = 11 + -5m Solving 19 + -7m = 11 + -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. 19 + -7m + 5m = 11 + -5m + 5m Combine like terms: -7m + 5m = -2m 19 + -2m = 11 + -5m + 5m Combine like terms: -5m + 5m = 0 19 + -2m = 11 + 0 19 + -2m = 11 Add '-19' to each side of the equation. 19 + -19 + -2m = 11 + -19 Combine like terms: 19 + -19 = 0 0 + -2m = 11 + -19 -2m = 11 + -19 Combine like terms: 11 + -19 = -8 -2m = -8 Divide each side by '-2'. m = 4 Simplifying m = 4
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