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Simplifying 7(m + 3) + -6(3m + -8) = -12(m + -6) + -8 Reorder the terms: 7(3 + m) + -6(3m + -8) = -12(m + -6) + -8 (3 * 7 + m * 7) + -6(3m + -8) = -12(m + -6) + -8 (21 + 7m) + -6(3m + -8) = -12(m + -6) + -8 Reorder the terms: 21 + 7m + -6(-8 + 3m) = -12(m + -6) + -8 21 + 7m + (-8 * -6 + 3m * -6) = -12(m + -6) + -8 21 + 7m + (48 + -18m) = -12(m + -6) + -8 Reorder the terms: 21 + 48 + 7m + -18m = -12(m + -6) + -8 Combine like terms: 21 + 48 = 69 69 + 7m + -18m = -12(m + -6) + -8 Combine like terms: 7m + -18m = -11m 69 + -11m = -12(m + -6) + -8 Reorder the terms: 69 + -11m = -12(-6 + m) + -8 69 + -11m = (-6 * -12 + m * -12) + -8 69 + -11m = (72 + -12m) + -8 Reorder the terms: 69 + -11m = 72 + -8 + -12m Combine like terms: 72 + -8 = 64 69 + -11m = 64 + -12m Solving 69 + -11m = 64 + -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. 69 + -11m + 12m = 64 + -12m + 12m Combine like terms: -11m + 12m = 1m 69 + 1m = 64 + -12m + 12m Combine like terms: -12m + 12m = 0 69 + 1m = 64 + 0 69 + 1m = 64 Add '-69' to each side of the equation. 69 + -69 + 1m = 64 + -69 Combine like terms: 69 + -69 = 0 0 + 1m = 64 + -69 1m = 64 + -69 Combine like terms: 64 + -69 = -5 1m = -5 Divide each side by '1'. m = -5 Simplifying m = -5
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