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Simplifying -6m + 7 + 5 = 3(6 + -3m) + 2(m + -2) Reorder the terms: 7 + 5 + -6m = 3(6 + -3m) + 2(m + -2) Combine like terms: 7 + 5 = 12 12 + -6m = 3(6 + -3m) + 2(m + -2) 12 + -6m = (6 * 3 + -3m * 3) + 2(m + -2) 12 + -6m = (18 + -9m) + 2(m + -2) Reorder the terms: 12 + -6m = 18 + -9m + 2(-2 + m) 12 + -6m = 18 + -9m + (-2 * 2 + m * 2) 12 + -6m = 18 + -9m + (-4 + 2m) Reorder the terms: 12 + -6m = 18 + -4 + -9m + 2m Combine like terms: 18 + -4 = 14 12 + -6m = 14 + -9m + 2m Combine like terms: -9m + 2m = -7m 12 + -6m = 14 + -7m Solving 12 + -6m = 14 + -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. 12 + -6m + 7m = 14 + -7m + 7m Combine like terms: -6m + 7m = 1m 12 + 1m = 14 + -7m + 7m Combine like terms: -7m + 7m = 0 12 + 1m = 14 + 0 12 + 1m = 14 Add '-12' to each side of the equation. 12 + -12 + 1m = 14 + -12 Combine like terms: 12 + -12 = 0 0 + 1m = 14 + -12 1m = 14 + -12 Combine like terms: 14 + -12 = 2 1m = 2 Divide each side by '1'. m = 2 Simplifying m = 2
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