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Simplifying 7(m + -12) = 5m Reorder the terms: 7(-12 + m) = 5m (-12 * 7 + m * 7) = 5m (-84 + 7m) = 5m Solving -84 + 7m = 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. -84 + 7m + -5m = 5m + -5m Combine like terms: 7m + -5m = 2m -84 + 2m = 5m + -5m Combine like terms: 5m + -5m = 0 -84 + 2m = 0 Add '84' to each side of the equation. -84 + 84 + 2m = 0 + 84 Combine like terms: -84 + 84 = 0 0 + 2m = 0 + 84 2m = 0 + 84 Combine like terms: 0 + 84 = 84 2m = 84 Divide each side by '2'. m = 42 Simplifying m = 42
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