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Simplifying 6(m + -2) + 14 = 3(m + 2) + -1 Reorder the terms: 6(-2 + m) + 14 = 3(m + 2) + -1 (-2 * 6 + m * 6) + 14 = 3(m + 2) + -1 (-12 + 6m) + 14 = 3(m + 2) + -1 Reorder the terms: -12 + 14 + 6m = 3(m + 2) + -1 Combine like terms: -12 + 14 = 2 2 + 6m = 3(m + 2) + -1 Reorder the terms: 2 + 6m = 3(2 + m) + -1 2 + 6m = (2 * 3 + m * 3) + -1 2 + 6m = (6 + 3m) + -1 Reorder the terms: 2 + 6m = 6 + -1 + 3m Combine like terms: 6 + -1 = 5 2 + 6m = 5 + 3m Solving 2 + 6m = 5 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 2 + 6m + -3m = 5 + 3m + -3m Combine like terms: 6m + -3m = 3m 2 + 3m = 5 + 3m + -3m Combine like terms: 3m + -3m = 0 2 + 3m = 5 + 0 2 + 3m = 5 Add '-2' to each side of the equation. 2 + -2 + 3m = 5 + -2 Combine like terms: 2 + -2 = 0 0 + 3m = 5 + -2 3m = 5 + -2 Combine like terms: 5 + -2 = 3 3m = 3 Divide each side by '3'. m = 1 Simplifying m = 1
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