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Simplifying 7[6m + -1(5m + 3) + 4] = 5m + 4 Reorder the terms: 7[6m + -1(3 + 5m) + 4] = 5m + 4 7[6m + (3 * -1 + 5m * -1) + 4] = 5m + 4 7[6m + (-3 + -5m) + 4] = 5m + 4 Reorder the terms: 7[-3 + 4 + 6m + -5m] = 5m + 4 Combine like terms: -3 + 4 = 1 7[1 + 6m + -5m] = 5m + 4 Combine like terms: 6m + -5m = 1m 7[1 + 1m] = 5m + 4 [1 * 7 + 1m * 7] = 5m + 4 [7 + 7m] = 5m + 4 Reorder the terms: 7 + 7m = 4 + 5m Solving 7 + 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. 7 + 7m + -5m = 4 + 5m + -5m Combine like terms: 7m + -5m = 2m 7 + 2m = 4 + 5m + -5m Combine like terms: 5m + -5m = 0 7 + 2m = 4 + 0 7 + 2m = 4 Add '-7' to each side of the equation. 7 + -7 + 2m = 4 + -7 Combine like terms: 7 + -7 = 0 0 + 2m = 4 + -7 2m = 4 + -7 Combine like terms: 4 + -7 = -3 2m = -3 Divide each side by '2'. m = -1.5 Simplifying m = -1.5
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