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Simplifying 7m + 3n + n + 5 * -1m + -3n + 8 = 0 Multiply 5 * -1 7m + 3n + n + -5m + -3n + 8 = 0 Reorder the terms: 8 + 7m + -5m + 3n + n + -3n = 0 Combine like terms: 7m + -5m = 2m 8 + 2m + 3n + n + -3n = 0 Combine like terms: 3n + n = 4n 8 + 2m + 4n + -3n = 0 Combine like terms: 4n + -3n = 1n 8 + 2m + 1n = 0 Solving 8 + 2m + 1n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 2m + -8 + 1n = 0 + -8 Reorder the terms: 8 + -8 + 2m + 1n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 2m + 1n = 0 + -8 2m + 1n = 0 + -8 Combine like terms: 0 + -8 = -8 2m + 1n = -8 Add '-1n' to each side of the equation. 2m + 1n + -1n = -8 + -1n Combine like terms: 1n + -1n = 0 2m + 0 = -8 + -1n 2m = -8 + -1n Divide each side by '2'. m = -4 + -0.5n Simplifying m = -4 + -0.5n
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