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Simplifying 4(1 + -6m) + 5(6m + 2) = 8 (1 * 4 + -6m * 4) + 5(6m + 2) = 8 (4 + -24m) + 5(6m + 2) = 8 Reorder the terms: 4 + -24m + 5(2 + 6m) = 8 4 + -24m + (2 * 5 + 6m * 5) = 8 4 + -24m + (10 + 30m) = 8 Reorder the terms: 4 + 10 + -24m + 30m = 8 Combine like terms: 4 + 10 = 14 14 + -24m + 30m = 8 Combine like terms: -24m + 30m = 6m 14 + 6m = 8 Solving 14 + 6m = 8 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 6m = 8 + -14 Combine like terms: 14 + -14 = 0 0 + 6m = 8 + -14 6m = 8 + -14 Combine like terms: 8 + -14 = -6 6m = -6 Divide each side by '6'. m = -1 Simplifying m = -1
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