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Simplifying -3(1 + 5n) + -5(-5m + -7) = 78 (1 * -3 + 5n * -3) + -5(-5m + -7) = 78 (-3 + -15n) + -5(-5m + -7) = 78 Reorder the terms: -3 + -15n + -5(-7 + -5m) = 78 -3 + -15n + (-7 * -5 + -5m * -5) = 78 -3 + -15n + (35 + 25m) = 78 Reorder the terms: -3 + 35 + 25m + -15n = 78 Combine like terms: -3 + 35 = 32 32 + 25m + -15n = 78 Solving 32 + 25m + -15n = 78 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + 25m + -32 + -15n = 78 + -32 Reorder the terms: 32 + -32 + 25m + -15n = 78 + -32 Combine like terms: 32 + -32 = 0 0 + 25m + -15n = 78 + -32 25m + -15n = 78 + -32 Combine like terms: 78 + -32 = 46 25m + -15n = 46 Add '15n' to each side of the equation. 25m + -15n + 15n = 46 + 15n Combine like terms: -15n + 15n = 0 25m + 0 = 46 + 15n 25m = 46 + 15n Divide each side by '25'. m = 1.84 + 0.6n Simplifying m = 1.84 + 0.6n
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