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Simplifying 8m + 14 + -10 + 2n = 0 Reorder the terms: 14 + -10 + 8m + 2n = 0 Combine like terms: 14 + -10 = 4 4 + 8m + 2n = 0 Solving 4 + 8m + 2n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 8m + -4 + 2n = 0 + -4 Reorder the terms: 4 + -4 + 8m + 2n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 8m + 2n = 0 + -4 8m + 2n = 0 + -4 Combine like terms: 0 + -4 = -4 8m + 2n = -4 Add '-2n' to each side of the equation. 8m + 2n + -2n = -4 + -2n Combine like terms: 2n + -2n = 0 8m + 0 = -4 + -2n 8m = -4 + -2n Divide each side by '8'. m = -0.5 + -0.25n Simplifying m = -0.5 + -0.25n
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