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Simplifying 2(m + -7) = 3(m + 10) Reorder the terms: 2(-7 + m) = 3(m + 10) (-7 * 2 + m * 2) = 3(m + 10) (-14 + 2m) = 3(m + 10) Reorder the terms: -14 + 2m = 3(10 + m) -14 + 2m = (10 * 3 + m * 3) -14 + 2m = (30 + 3m) Solving -14 + 2m = 30 + 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 = 30 + 3m + -3m Combine like terms: 2m + -3m = -1m -14 + -1m = 30 + 3m + -3m Combine like terms: 3m + -3m = 0 -14 + -1m = 30 + 0 -14 + -1m = 30 Add '14' to each side of the equation. -14 + 14 + -1m = 30 + 14 Combine like terms: -14 + 14 = 0 0 + -1m = 30 + 14 -1m = 30 + 14 Combine like terms: 30 + 14 = 44 -1m = 44 Divide each side by '-1'. m = -44 Simplifying m = -44
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