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Simplifying 4(1 + 8m) + 8 = 5 + -7(1 + 6m) (1 * 4 + 8m * 4) + 8 = 5 + -7(1 + 6m) (4 + 32m) + 8 = 5 + -7(1 + 6m) Reorder the terms: 4 + 8 + 32m = 5 + -7(1 + 6m) Combine like terms: 4 + 8 = 12 12 + 32m = 5 + -7(1 + 6m) 12 + 32m = 5 + (1 * -7 + 6m * -7) 12 + 32m = 5 + (-7 + -42m) Combine like terms: 5 + -7 = -2 12 + 32m = -2 + -42m Solving 12 + 32m = -2 + -42m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '42m' to each side of the equation. 12 + 32m + 42m = -2 + -42m + 42m Combine like terms: 32m + 42m = 74m 12 + 74m = -2 + -42m + 42m Combine like terms: -42m + 42m = 0 12 + 74m = -2 + 0 12 + 74m = -2 Add '-12' to each side of the equation. 12 + -12 + 74m = -2 + -12 Combine like terms: 12 + -12 = 0 0 + 74m = -2 + -12 74m = -2 + -12 Combine like terms: -2 + -12 = -14 74m = -14 Divide each side by '74'. m = -0.1891891892 Simplifying m = -0.1891891892
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