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Simplifying 12 + 2m + 2m + n + 4n + 3 + 2m + n + 1 + 5m + n + 2 = 0 Reorder the terms: 12 + 3 + 1 + 2 + 2m + 2m + 2m + 5m + n + 4n + n + n = 0 Combine like terms: 12 + 3 = 15 15 + 1 + 2 + 2m + 2m + 2m + 5m + n + 4n + n + n = 0 Combine like terms: 15 + 1 = 16 16 + 2 + 2m + 2m + 2m + 5m + n + 4n + n + n = 0 Combine like terms: 16 + 2 = 18 18 + 2m + 2m + 2m + 5m + n + 4n + n + n = 0 Combine like terms: 2m + 2m = 4m 18 + 4m + 2m + 5m + n + 4n + n + n = 0 Combine like terms: 4m + 2m = 6m 18 + 6m + 5m + n + 4n + n + n = 0 Combine like terms: 6m + 5m = 11m 18 + 11m + n + 4n + n + n = 0 Combine like terms: n + 4n = 5n 18 + 11m + 5n + n + n = 0 Combine like terms: 5n + n = 6n 18 + 11m + 6n + n = 0 Combine like terms: 6n + n = 7n 18 + 11m + 7n = 0 Solving 18 + 11m + 7n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + 11m + -18 + 7n = 0 + -18 Reorder the terms: 18 + -18 + 11m + 7n = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 11m + 7n = 0 + -18 11m + 7n = 0 + -18 Combine like terms: 0 + -18 = -18 11m + 7n = -18 Add '-7n' to each side of the equation. 11m + 7n + -7n = -18 + -7n Combine like terms: 7n + -7n = 0 11m + 0 = -18 + -7n 11m = -18 + -7n Divide each side by '11'. m = -1.636363636 + -0.6363636364n Simplifying m = -1.636363636 + -0.6363636364n
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