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Simplifying 6m + 9n + -10 + -4m + 6n = 0 Reorder the terms: -10 + 6m + -4m + 9n + 6n = 0 Combine like terms: 6m + -4m = 2m -10 + 2m + 9n + 6n = 0 Combine like terms: 9n + 6n = 15n -10 + 2m + 15n = 0 Solving -10 + 2m + 15n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 2m + 10 + 15n = 0 + 10 Reorder the terms: -10 + 10 + 2m + 15n = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 2m + 15n = 0 + 10 2m + 15n = 0 + 10 Combine like terms: 0 + 10 = 10 2m + 15n = 10 Add '-15n' to each side of the equation. 2m + 15n + -15n = 10 + -15n Combine like terms: 15n + -15n = 0 2m + 0 = 10 + -15n 2m = 10 + -15n Divide each side by '2'. m = 5 + -7.5n Simplifying m = 5 + -7.5n
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