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Simplifying 3(m + 7) + -12(m + -12) = 10m + -8m Reorder the terms: 3(7 + m) + -12(m + -12) = 10m + -8m (7 * 3 + m * 3) + -12(m + -12) = 10m + -8m (21 + 3m) + -12(m + -12) = 10m + -8m Reorder the terms: 21 + 3m + -12(-12 + m) = 10m + -8m 21 + 3m + (-12 * -12 + m * -12) = 10m + -8m 21 + 3m + (144 + -12m) = 10m + -8m Reorder the terms: 21 + 144 + 3m + -12m = 10m + -8m Combine like terms: 21 + 144 = 165 165 + 3m + -12m = 10m + -8m Combine like terms: 3m + -12m = -9m 165 + -9m = 10m + -8m Combine like terms: 10m + -8m = 2m 165 + -9m = 2m Solving 165 + -9m = 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. 165 + -9m + -2m = 2m + -2m Combine like terms: -9m + -2m = -11m 165 + -11m = 2m + -2m Combine like terms: 2m + -2m = 0 165 + -11m = 0 Add '-165' to each side of the equation. 165 + -165 + -11m = 0 + -165 Combine like terms: 165 + -165 = 0 0 + -11m = 0 + -165 -11m = 0 + -165 Combine like terms: 0 + -165 = -165 -11m = -165 Divide each side by '-11'. m = 15 Simplifying m = 15
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