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Simplifying 6m + 3(5m + -4) = 12(2m + -5) Reorder the terms: 6m + 3(-4 + 5m) = 12(2m + -5) 6m + (-4 * 3 + 5m * 3) = 12(2m + -5) 6m + (-12 + 15m) = 12(2m + -5) Reorder the terms: -12 + 6m + 15m = 12(2m + -5) Combine like terms: 6m + 15m = 21m -12 + 21m = 12(2m + -5) Reorder the terms: -12 + 21m = 12(-5 + 2m) -12 + 21m = (-5 * 12 + 2m * 12) -12 + 21m = (-60 + 24m) Solving -12 + 21m = -60 + 24m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-24m' to each side of the equation. -12 + 21m + -24m = -60 + 24m + -24m Combine like terms: 21m + -24m = -3m -12 + -3m = -60 + 24m + -24m Combine like terms: 24m + -24m = 0 -12 + -3m = -60 + 0 -12 + -3m = -60 Add '12' to each side of the equation. -12 + 12 + -3m = -60 + 12 Combine like terms: -12 + 12 = 0 0 + -3m = -60 + 12 -3m = -60 + 12 Combine like terms: -60 + 12 = -48 -3m = -48 Divide each side by '-3'. m = 16 Simplifying m = 16
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