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Simplifying 7(7 + 5m) + 8(6m + 1) = 0 (7 * 7 + 5m * 7) + 8(6m + 1) = 0 (49 + 35m) + 8(6m + 1) = 0 Reorder the terms: 49 + 35m + 8(1 + 6m) = 0 49 + 35m + (1 * 8 + 6m * 8) = 0 49 + 35m + (8 + 48m) = 0 Reorder the terms: 49 + 8 + 35m + 48m = 0 Combine like terms: 49 + 8 = 57 57 + 35m + 48m = 0 Combine like terms: 35m + 48m = 83m 57 + 83m = 0 Solving 57 + 83m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-57' to each side of the equation. 57 + -57 + 83m = 0 + -57 Combine like terms: 57 + -57 = 0 0 + 83m = 0 + -57 83m = 0 + -57 Combine like terms: 0 + -57 = -57 83m = -57 Divide each side by '83'. m = -0.686746988 Simplifying m = -0.686746988
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