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Simplifying 7(1 + 5n) + 6(1 + 4m) = 13 (1 * 7 + 5n * 7) + 6(1 + 4m) = 13 (7 + 35n) + 6(1 + 4m) = 13 7 + 35n + (1 * 6 + 4m * 6) = 13 7 + 35n + (6 + 24m) = 13 Reorder the terms: 7 + 6 + 24m + 35n = 13 Combine like terms: 7 + 6 = 13 13 + 24m + 35n = 13 Add '-13' to each side of the equation. 13 + 24m + -13 + 35n = 13 + -13 Reorder the terms: 13 + -13 + 24m + 35n = 13 + -13 Combine like terms: 13 + -13 = 0 0 + 24m + 35n = 13 + -13 24m + 35n = 13 + -13 Combine like terms: 13 + -13 = 0 24m + 35n = 0 Solving 24m + 35n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-35n' to each side of the equation. 24m + 35n + -35n = 0 + -35n Combine like terms: 35n + -35n = 0 24m + 0 = 0 + -35n 24m = 0 + -35n Remove the zero: 24m = -35n Divide each side by '24'. m = -1.458333333n Simplifying m = -1.458333333n
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