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Simplifying 8 + -1m + 5 = 10(7m + 5) + 11(1 + -7m) Reorder the terms: 8 + 5 + -1m = 10(7m + 5) + 11(1 + -7m) Combine like terms: 8 + 5 = 13 13 + -1m = 10(7m + 5) + 11(1 + -7m) Reorder the terms: 13 + -1m = 10(5 + 7m) + 11(1 + -7m) 13 + -1m = (5 * 10 + 7m * 10) + 11(1 + -7m) 13 + -1m = (50 + 70m) + 11(1 + -7m) 13 + -1m = 50 + 70m + (1 * 11 + -7m * 11) 13 + -1m = 50 + 70m + (11 + -77m) Reorder the terms: 13 + -1m = 50 + 11 + 70m + -77m Combine like terms: 50 + 11 = 61 13 + -1m = 61 + 70m + -77m Combine like terms: 70m + -77m = -7m 13 + -1m = 61 + -7m Solving 13 + -1m = 61 + -7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7m' to each side of the equation. 13 + -1m + 7m = 61 + -7m + 7m Combine like terms: -1m + 7m = 6m 13 + 6m = 61 + -7m + 7m Combine like terms: -7m + 7m = 0 13 + 6m = 61 + 0 13 + 6m = 61 Add '-13' to each side of the equation. 13 + -13 + 6m = 61 + -13 Combine like terms: 13 + -13 = 0 0 + 6m = 61 + -13 6m = 61 + -13 Combine like terms: 61 + -13 = 48 6m = 48 Divide each side by '6'. m = 8 Simplifying m = 8
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