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Simplifying 7 + 8m + 6n + 9m + -3n + 6 = 0 Reorder the terms: 7 + 6 + 8m + 9m + 6n + -3n = 0 Combine like terms: 7 + 6 = 13 13 + 8m + 9m + 6n + -3n = 0 Combine like terms: 8m + 9m = 17m 13 + 17m + 6n + -3n = 0 Combine like terms: 6n + -3n = 3n 13 + 17m + 3n = 0 Solving 13 + 17m + 3n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + 17m + -13 + 3n = 0 + -13 Reorder the terms: 13 + -13 + 17m + 3n = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 17m + 3n = 0 + -13 17m + 3n = 0 + -13 Combine like terms: 0 + -13 = -13 17m + 3n = -13 Add '-3n' to each side of the equation. 17m + 3n + -3n = -13 + -3n Combine like terms: 3n + -3n = 0 17m + 0 = -13 + -3n 17m = -13 + -3n Divide each side by '17'. m = -0.7647058824 + -0.1764705882n Simplifying m = -0.7647058824 + -0.1764705882n
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