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Simplifying 7(m + 1) + -2(-3m + -7) = 12(m + -1) + 10 Reorder the terms: 7(1 + m) + -2(-3m + -7) = 12(m + -1) + 10 (1 * 7 + m * 7) + -2(-3m + -7) = 12(m + -1) + 10 (7 + 7m) + -2(-3m + -7) = 12(m + -1) + 10 Reorder the terms: 7 + 7m + -2(-7 + -3m) = 12(m + -1) + 10 7 + 7m + (-7 * -2 + -3m * -2) = 12(m + -1) + 10 7 + 7m + (14 + 6m) = 12(m + -1) + 10 Reorder the terms: 7 + 14 + 7m + 6m = 12(m + -1) + 10 Combine like terms: 7 + 14 = 21 21 + 7m + 6m = 12(m + -1) + 10 Combine like terms: 7m + 6m = 13m 21 + 13m = 12(m + -1) + 10 Reorder the terms: 21 + 13m = 12(-1 + m) + 10 21 + 13m = (-1 * 12 + m * 12) + 10 21 + 13m = (-12 + 12m) + 10 Reorder the terms: 21 + 13m = -12 + 10 + 12m Combine like terms: -12 + 10 = -2 21 + 13m = -2 + 12m Solving 21 + 13m = -2 + 12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12m' to each side of the equation. 21 + 13m + -12m = -2 + 12m + -12m Combine like terms: 13m + -12m = 1m 21 + 1m = -2 + 12m + -12m Combine like terms: 12m + -12m = 0 21 + 1m = -2 + 0 21 + 1m = -2 Add '-21' to each side of the equation. 21 + -21 + 1m = -2 + -21 Combine like terms: 21 + -21 = 0 0 + 1m = -2 + -21 1m = -2 + -21 Combine like terms: -2 + -21 = -23 1m = -23 Divide each side by '1'. m = -23 Simplifying m = -23
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