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Simplifying 7m + -1(4m + -1(3m + -5)) = 13 Reorder the terms: 7m + -1(4m + -1(-5 + 3m)) = 13 7m + -1(4m + (-5 * -1 + 3m * -1)) = 13 7m + -1(4m + (5 + -3m)) = 13 Reorder the terms: 7m + -1(5 + 4m + -3m) = 13 Combine like terms: 4m + -3m = 1m 7m + -1(5 + 1m) = 13 7m + (5 * -1 + 1m * -1) = 13 7m + (-5 + -1m) = 13 Reorder the terms: -5 + 7m + -1m = 13 Combine like terms: 7m + -1m = 6m -5 + 6m = 13 Solving -5 + 6m = 13 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 6m = 13 + 5 Combine like terms: -5 + 5 = 0 0 + 6m = 13 + 5 6m = 13 + 5 Combine like terms: 13 + 5 = 18 6m = 18 Divide each side by '6'. m = 3 Simplifying m = 3
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