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Simplifying 10(3m + 6) + 8(-7 + -7m) = 2m + -12 + -12 Reorder the terms: 10(6 + 3m) + 8(-7 + -7m) = 2m + -12 + -12 (6 * 10 + 3m * 10) + 8(-7 + -7m) = 2m + -12 + -12 (60 + 30m) + 8(-7 + -7m) = 2m + -12 + -12 60 + 30m + (-7 * 8 + -7m * 8) = 2m + -12 + -12 60 + 30m + (-56 + -56m) = 2m + -12 + -12 Reorder the terms: 60 + -56 + 30m + -56m = 2m + -12 + -12 Combine like terms: 60 + -56 = 4 4 + 30m + -56m = 2m + -12 + -12 Combine like terms: 30m + -56m = -26m 4 + -26m = 2m + -12 + -12 Reorder the terms: 4 + -26m = -12 + -12 + 2m Combine like terms: -12 + -12 = -24 4 + -26m = -24 + 2m Solving 4 + -26m = -24 + 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. 4 + -26m + -2m = -24 + 2m + -2m Combine like terms: -26m + -2m = -28m 4 + -28m = -24 + 2m + -2m Combine like terms: 2m + -2m = 0 4 + -28m = -24 + 0 4 + -28m = -24 Add '-4' to each side of the equation. 4 + -4 + -28m = -24 + -4 Combine like terms: 4 + -4 = 0 0 + -28m = -24 + -4 -28m = -24 + -4 Combine like terms: -24 + -4 = -28 -28m = -28 Divide each side by '-28'. m = 1 Simplifying m = 1
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