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Simplifying 7(1 + 5m) + -7(1 + -7m) = 4m + 2m (1 * 7 + 5m * 7) + -7(1 + -7m) = 4m + 2m (7 + 35m) + -7(1 + -7m) = 4m + 2m 7 + 35m + (1 * -7 + -7m * -7) = 4m + 2m 7 + 35m + (-7 + 49m) = 4m + 2m Reorder the terms: 7 + -7 + 35m + 49m = 4m + 2m Combine like terms: 7 + -7 = 0 0 + 35m + 49m = 4m + 2m 35m + 49m = 4m + 2m Combine like terms: 35m + 49m = 84m 84m = 4m + 2m Combine like terms: 4m + 2m = 6m 84m = 6m Solving 84m = 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. 84m + -6m = 6m + -6m Combine like terms: 84m + -6m = 78m 78m = 6m + -6m Combine like terms: 6m + -6m = 0 78m = 0 Divide each side by '78'. m = 0 Simplifying m = 0
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