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Simplifying -4m + -29 + -2(m + -5) = 2m + -1(5m + -3) + -7m + 6 Reorder the terms: -4m + -29 + -2(-5 + m) = 2m + -1(5m + -3) + -7m + 6 -4m + -29 + (-5 * -2 + m * -2) = 2m + -1(5m + -3) + -7m + 6 -4m + -29 + (10 + -2m) = 2m + -1(5m + -3) + -7m + 6 Reorder the terms: -29 + 10 + -4m + -2m = 2m + -1(5m + -3) + -7m + 6 Combine like terms: -29 + 10 = -19 -19 + -4m + -2m = 2m + -1(5m + -3) + -7m + 6 Combine like terms: -4m + -2m = -6m -19 + -6m = 2m + -1(5m + -3) + -7m + 6 Reorder the terms: -19 + -6m = 2m + -1(-3 + 5m) + -7m + 6 -19 + -6m = 2m + (-3 * -1 + 5m * -1) + -7m + 6 -19 + -6m = 2m + (3 + -5m) + -7m + 6 Reorder the terms: -19 + -6m = 3 + 6 + 2m + -5m + -7m Combine like terms: 3 + 6 = 9 -19 + -6m = 9 + 2m + -5m + -7m Combine like terms: 2m + -5m = -3m -19 + -6m = 9 + -3m + -7m Combine like terms: -3m + -7m = -10m -19 + -6m = 9 + -10m Solving -19 + -6m = 9 + -10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '10m' to each side of the equation. -19 + -6m + 10m = 9 + -10m + 10m Combine like terms: -6m + 10m = 4m -19 + 4m = 9 + -10m + 10m Combine like terms: -10m + 10m = 0 -19 + 4m = 9 + 0 -19 + 4m = 9 Add '19' to each side of the equation. -19 + 19 + 4m = 9 + 19 Combine like terms: -19 + 19 = 0 0 + 4m = 9 + 19 4m = 9 + 19 Combine like terms: 9 + 19 = 28 4m = 28 Divide each side by '4'. m = 7 Simplifying m = 7
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