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Simplifying 7[6m + -1(5m + -13) + 4] = 5m + 4 Reorder the terms: 7[6m + -1(-13 + 5m) + 4] = 5m + 4 7[6m + (-13 * -1 + 5m * -1) + 4] = 5m + 4 7[6m + (13 + -5m) + 4] = 5m + 4 Reorder the terms: 7[13 + 4 + 6m + -5m] = 5m + 4 Combine like terms: 13 + 4 = 17 7[17 + 6m + -5m] = 5m + 4 Combine like terms: 6m + -5m = 1m 7[17 + 1m] = 5m + 4 [17 * 7 + 1m * 7] = 5m + 4 [119 + 7m] = 5m + 4 Reorder the terms: 119 + 7m = 4 + 5m Solving 119 + 7m = 4 + 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. 119 + 7m + -5m = 4 + 5m + -5m Combine like terms: 7m + -5m = 2m 119 + 2m = 4 + 5m + -5m Combine like terms: 5m + -5m = 0 119 + 2m = 4 + 0 119 + 2m = 4 Add '-119' to each side of the equation. 119 + -119 + 2m = 4 + -119 Combine like terms: 119 + -119 = 0 0 + 2m = 4 + -119 2m = 4 + -119 Combine like terms: 4 + -119 = -115 2m = -115 Divide each side by '2'. m = -57.5 Simplifying m = -57.5
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