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Simplifying -3(1 + -7m) + 8(5m + 8) = 0 (1 * -3 + -7m * -3) + 8(5m + 8) = 0 (-3 + 21m) + 8(5m + 8) = 0 Reorder the terms: -3 + 21m + 8(8 + 5m) = 0 -3 + 21m + (8 * 8 + 5m * 8) = 0 -3 + 21m + (64 + 40m) = 0 Reorder the terms: -3 + 64 + 21m + 40m = 0 Combine like terms: -3 + 64 = 61 61 + 21m + 40m = 0 Combine like terms: 21m + 40m = 61m 61 + 61m = 0 Solving 61 + 61m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-61' to each side of the equation. 61 + -61 + 61m = 0 + -61 Combine like terms: 61 + -61 = 0 0 + 61m = 0 + -61 61m = 0 + -61 Combine like terms: 0 + -61 = -61 61m = -61 Divide each side by '61'. m = -1 Simplifying m = -1
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