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Simplifying 3m + -2(m + 7) = 2m + 14 Reorder the terms: 3m + -2(7 + m) = 2m + 14 3m + (7 * -2 + m * -2) = 2m + 14 3m + (-14 + -2m) = 2m + 14 Reorder the terms: -14 + 3m + -2m = 2m + 14 Combine like terms: 3m + -2m = 1m -14 + 1m = 2m + 14 Reorder the terms: -14 + 1m = 14 + 2m Solving -14 + 1m = 14 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. -14 + 1m + -2m = 14 + 2m + -2m Combine like terms: 1m + -2m = -1m -14 + -1m = 14 + 2m + -2m Combine like terms: 2m + -2m = 0 -14 + -1m = 14 + 0 -14 + -1m = 14 Add '14' to each side of the equation. -14 + 14 + -1m = 14 + 14 Combine like terms: -14 + 14 = 0 0 + -1m = 14 + 14 -1m = 14 + 14 Combine like terms: 14 + 14 = 28 -1m = 28 Divide each side by '-1'. m = -28 Simplifying m = -28
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