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Simplifying 7(m + -2) = 5m + -4 Reorder the terms: 7(-2 + m) = 5m + -4 (-2 * 7 + m * 7) = 5m + -4 (-14 + 7m) = 5m + -4 Reorder the terms: -14 + 7m = -4 + 5m Solving -14 + 7m = -4 + 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. -14 + 7m + -5m = -4 + 5m + -5m Combine like terms: 7m + -5m = 2m -14 + 2m = -4 + 5m + -5m Combine like terms: 5m + -5m = 0 -14 + 2m = -4 + 0 -14 + 2m = -4 Add '14' to each side of the equation. -14 + 14 + 2m = -4 + 14 Combine like terms: -14 + 14 = 0 0 + 2m = -4 + 14 2m = -4 + 14 Combine like terms: -4 + 14 = 10 2m = 10 Divide each side by '2'. m = 5 Simplifying m = 5
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