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Simplifying 14m + 4n + -6m + 9 = 0 Reorder the terms: 9 + 14m + -6m + 4n = 0 Combine like terms: 14m + -6m = 8m 9 + 8m + 4n = 0 Solving 9 + 8m + 4n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 8m + -9 + 4n = 0 + -9 Reorder the terms: 9 + -9 + 8m + 4n = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 8m + 4n = 0 + -9 8m + 4n = 0 + -9 Combine like terms: 0 + -9 = -9 8m + 4n = -9 Add '-4n' to each side of the equation. 8m + 4n + -4n = -9 + -4n Combine like terms: 4n + -4n = 0 8m + 0 = -9 + -4n 8m = -9 + -4n Divide each side by '8'. m = -1.125 + -0.5n Simplifying m = -1.125 + -0.5n
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