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Simplifying 3m + -12 = 3(8m + 3) Reorder the terms: -12 + 3m = 3(8m + 3) Reorder the terms: -12 + 3m = 3(3 + 8m) -12 + 3m = (3 * 3 + 8m * 3) -12 + 3m = (9 + 24m) Solving -12 + 3m = 9 + 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 + 3m + -24m = 9 + 24m + -24m Combine like terms: 3m + -24m = -21m -12 + -21m = 9 + 24m + -24m Combine like terms: 24m + -24m = 0 -12 + -21m = 9 + 0 -12 + -21m = 9 Add '12' to each side of the equation. -12 + 12 + -21m = 9 + 12 Combine like terms: -12 + 12 = 0 0 + -21m = 9 + 12 -21m = 9 + 12 Combine like terms: 9 + 12 = 21 -21m = 21 Divide each side by '-21'. m = -1 Simplifying m = -1
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