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Simplifying 12(m + -12) = 6(1 + 7m) Reorder the terms: 12(-12 + m) = 6(1 + 7m) (-12 * 12 + m * 12) = 6(1 + 7m) (-144 + 12m) = 6(1 + 7m) -144 + 12m = (1 * 6 + 7m * 6) -144 + 12m = (6 + 42m) Solving -144 + 12m = 6 + 42m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-42m' to each side of the equation. -144 + 12m + -42m = 6 + 42m + -42m Combine like terms: 12m + -42m = -30m -144 + -30m = 6 + 42m + -42m Combine like terms: 42m + -42m = 0 -144 + -30m = 6 + 0 -144 + -30m = 6 Add '144' to each side of the equation. -144 + 144 + -30m = 6 + 144 Combine like terms: -144 + 144 = 0 0 + -30m = 6 + 144 -30m = 6 + 144 Combine like terms: 6 + 144 = 150 -30m = 150 Divide each side by '-30'. m = -5 Simplifying m = -5
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