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Simplifying 7(5m + 3n) + -2(4m + -4n) + 15 = 0 (5m * 7 + 3n * 7) + -2(4m + -4n) + 15 = 0 (35m + 21n) + -2(4m + -4n) + 15 = 0 35m + 21n + (4m * -2 + -4n * -2) + 15 = 0 35m + 21n + (-8m + 8n) + 15 = 0 Reorder the terms: 15 + 35m + -8m + 21n + 8n = 0 Combine like terms: 35m + -8m = 27m 15 + 27m + 21n + 8n = 0 Combine like terms: 21n + 8n = 29n 15 + 27m + 29n = 0 Solving 15 + 27m + 29n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + 27m + -15 + 29n = 0 + -15 Reorder the terms: 15 + -15 + 27m + 29n = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 27m + 29n = 0 + -15 27m + 29n = 0 + -15 Combine like terms: 0 + -15 = -15 27m + 29n = -15 Add '-29n' to each side of the equation. 27m + 29n + -29n = -15 + -29n Combine like terms: 29n + -29n = 0 27m + 0 = -15 + -29n 27m = -15 + -29n Divide each side by '27'. m = -0.5555555556 + -1.074074074n Simplifying m = -0.5555555556 + -1.074074074n
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