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Simplifying 2(m + -7) = 1(3m + 10) Reorder the terms: 2(-7 + m) = 1(3m + 10) (-7 * 2 + m * 2) = 1(3m + 10) (-14 + 2m) = 1(3m + 10) Reorder the terms: -14 + 2m = 1(10 + 3m) -14 + 2m = (10 * 1 + 3m * 1) -14 + 2m = (10 + 3m) Solving -14 + 2m = 10 + 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. -14 + 2m + -3m = 10 + 3m + -3m Combine like terms: 2m + -3m = -1m -14 + -1m = 10 + 3m + -3m Combine like terms: 3m + -3m = 0 -14 + -1m = 10 + 0 -14 + -1m = 10 Add '14' to each side of the equation. -14 + 14 + -1m = 10 + 14 Combine like terms: -14 + 14 = 0 0 + -1m = 10 + 14 -1m = 10 + 14 Combine like terms: 10 + 14 = 24 -1m = 24 Divide each side by '-1'. m = -24 Simplifying m = -24
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