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