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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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