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Simplifying 8m + 14 + -12 + 4n = 0 Reorder the terms: 14 + -12 + 8m + 4n = 0 Combine like terms: 14 + -12 = 2 2 + 8m + 4n = 0 Solving 2 + 8m + 4n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 8m + -2 + 4n = 0 + -2 Reorder the terms: 2 + -2 + 8m + 4n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 8m + 4n = 0 + -2 8m + 4n = 0 + -2 Combine like terms: 0 + -2 = -2 8m + 4n = -2 Add '-4n' to each side of the equation. 8m + 4n + -4n = -2 + -4n Combine like terms: 4n + -4n = 0 8m + 0 = -2 + -4n 8m = -2 + -4n Divide each side by '8'. m = -0.25 + -0.5n Simplifying m = -0.25 + -0.5n
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