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Simplifying -7m + 41 + -7(m + -4) = 4m + -1(5m + -2) + -3m + 7 Reorder the terms: -7m + 41 + -7(-4 + m) = 4m + -1(5m + -2) + -3m + 7 -7m + 41 + (-4 * -7 + m * -7) = 4m + -1(5m + -2) + -3m + 7 -7m + 41 + (28 + -7m) = 4m + -1(5m + -2) + -3m + 7 Reorder the terms: 41 + 28 + -7m + -7m = 4m + -1(5m + -2) + -3m + 7 Combine like terms: 41 + 28 = 69 69 + -7m + -7m = 4m + -1(5m + -2) + -3m + 7 Combine like terms: -7m + -7m = -14m 69 + -14m = 4m + -1(5m + -2) + -3m + 7 Reorder the terms: 69 + -14m = 4m + -1(-2 + 5m) + -3m + 7 69 + -14m = 4m + (-2 * -1 + 5m * -1) + -3m + 7 69 + -14m = 4m + (2 + -5m) + -3m + 7 Reorder the terms: 69 + -14m = 2 + 7 + 4m + -5m + -3m Combine like terms: 2 + 7 = 9 69 + -14m = 9 + 4m + -5m + -3m Combine like terms: 4m + -5m = -1m 69 + -14m = 9 + -1m + -3m Combine like terms: -1m + -3m = -4m 69 + -14m = 9 + -4m Solving 69 + -14m = 9 + -4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4m' to each side of the equation. 69 + -14m + 4m = 9 + -4m + 4m Combine like terms: -14m + 4m = -10m 69 + -10m = 9 + -4m + 4m Combine like terms: -4m + 4m = 0 69 + -10m = 9 + 0 69 + -10m = 9 Add '-69' to each side of the equation. 69 + -69 + -10m = 9 + -69 Combine like terms: 69 + -69 = 0 0 + -10m = 9 + -69 -10m = 9 + -69 Combine like terms: 9 + -69 = -60 -10m = -60 Divide each side by '-10'. m = 6 Simplifying m = 6
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