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Simplifying 12(7m + 2) = 6(4m + -7) Reorder the terms: 12(2 + 7m) = 6(4m + -7) (2 * 12 + 7m * 12) = 6(4m + -7) (24 + 84m) = 6(4m + -7) Reorder the terms: 24 + 84m = 6(-7 + 4m) 24 + 84m = (-7 * 6 + 4m * 6) 24 + 84m = (-42 + 24m) Solving 24 + 84m = -42 + 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. 24 + 84m + -24m = -42 + 24m + -24m Combine like terms: 84m + -24m = 60m 24 + 60m = -42 + 24m + -24m Combine like terms: 24m + -24m = 0 24 + 60m = -42 + 0 24 + 60m = -42 Add '-24' to each side of the equation. 24 + -24 + 60m = -42 + -24 Combine like terms: 24 + -24 = 0 0 + 60m = -42 + -24 60m = -42 + -24 Combine like terms: -42 + -24 = -66 60m = -66 Divide each side by '60'. m = -1.1 Simplifying m = -1.1
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