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Simplifying 5(7m + 4n + -6) + 62 = 0 Reorder the terms: 5(-6 + 7m + 4n) + 62 = 0 (-6 * 5 + 7m * 5 + 4n * 5) + 62 = 0 (-30 + 35m + 20n) + 62 = 0 Reorder the terms: -30 + 62 + 35m + 20n = 0 Combine like terms: -30 + 62 = 32 32 + 35m + 20n = 0 Solving 32 + 35m + 20n = 0 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 + 35m + -32 + 20n = 0 + -32 Reorder the terms: 32 + -32 + 35m + 20n = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 35m + 20n = 0 + -32 35m + 20n = 0 + -32 Combine like terms: 0 + -32 = -32 35m + 20n = -32 Add '-20n' to each side of the equation. 35m + 20n + -20n = -32 + -20n Combine like terms: 20n + -20n = 0 35m + 0 = -32 + -20n 35m = -32 + -20n Divide each side by '35'. m = -0.9142857143 + -0.5714285714n Simplifying m = -0.9142857143 + -0.5714285714n
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