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Simplifying 7m + 3n + n + 5 + -1m + -3n + 8 = 0 Reorder the terms: 5 + 8 + 7m + -1m + 3n + n + -3n = 0 Combine like terms: 5 + 8 = 13 13 + 7m + -1m + 3n + n + -3n = 0 Combine like terms: 7m + -1m = 6m 13 + 6m + 3n + n + -3n = 0 Combine like terms: 3n + n = 4n 13 + 6m + 4n + -3n = 0 Combine like terms: 4n + -3n = 1n 13 + 6m + 1n = 0 Solving 13 + 6m + 1n = 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 + 6m + -13 + 1n = 0 + -13 Reorder the terms: 13 + -13 + 6m + 1n = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 6m + 1n = 0 + -13 6m + 1n = 0 + -13 Combine like terms: 0 + -13 = -13 6m + 1n = -13 Add '-1n' to each side of the equation. 6m + 1n + -1n = -13 + -1n Combine like terms: 1n + -1n = 0 6m + 0 = -13 + -1n 6m = -13 + -1n Divide each side by '6'. m = -2.166666667 + -0.1666666667n Simplifying m = -2.166666667 + -0.1666666667n
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