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Simplifying 14 + 3m = 8n + -3(n + -4) Reorder the terms: 14 + 3m = 8n + -3(-4 + n) 14 + 3m = 8n + (-4 * -3 + n * -3) 14 + 3m = 8n + (12 + -3n) Reorder the terms: 14 + 3m = 12 + 8n + -3n Combine like terms: 8n + -3n = 5n 14 + 3m = 12 + 5n Solving 14 + 3m = 12 + 5n Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 3m = 12 + -14 + 5n Combine like terms: 14 + -14 = 0 0 + 3m = 12 + -14 + 5n 3m = 12 + -14 + 5n Combine like terms: 12 + -14 = -2 3m = -2 + 5n Divide each side by '3'. m = -0.6666666667 + 1.666666667n Simplifying m = -0.6666666667 + 1.666666667n
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