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Simplifying 2(6 + 7m) + 4m = -1m + 31 (6 * 2 + 7m * 2) + 4m = -1m + 31 (12 + 14m) + 4m = -1m + 31 Combine like terms: 14m + 4m = 18m 12 + 18m = -1m + 31 Reorder the terms: 12 + 18m = 31 + -1m Solving 12 + 18m = 31 + -1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. 12 + 18m + m = 31 + -1m + m Combine like terms: 18m + m = 19m 12 + 19m = 31 + -1m + m Combine like terms: -1m + m = 0 12 + 19m = 31 + 0 12 + 19m = 31 Add '-12' to each side of the equation. 12 + -12 + 19m = 31 + -12 Combine like terms: 12 + -12 = 0 0 + 19m = 31 + -12 19m = 31 + -12 Combine like terms: 31 + -12 = 19 19m = 19 Divide each side by '19'. m = 1 Simplifying m = 1
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