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Simplifying 8m + 4n + -3m + 9n + -6 = 0 Reorder the terms: -6 + 8m + -3m + 4n + 9n = 0 Combine like terms: 8m + -3m = 5m -6 + 5m + 4n + 9n = 0 Combine like terms: 4n + 9n = 13n -6 + 5m + 13n = 0 Solving -6 + 5m + 13n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 5m + 6 + 13n = 0 + 6 Reorder the terms: -6 + 6 + 5m + 13n = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 5m + 13n = 0 + 6 5m + 13n = 0 + 6 Combine like terms: 0 + 6 = 6 5m + 13n = 6 Add '-13n' to each side of the equation. 5m + 13n + -13n = 6 + -13n Combine like terms: 13n + -13n = 0 5m + 0 = 6 + -13n 5m = 6 + -13n Divide each side by '5'. m = 1.2 + -2.6n Simplifying m = 1.2 + -2.6n
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