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Simplifying -10m + 3(8 + 8n) = -6n(n + -4) -10m + (8 * 3 + 8n * 3) = -6n(n + -4) -10m + (24 + 24n) = -6n(n + -4) Reorder the terms: 24 + -10m + 24n = -6n(n + -4) Reorder the terms: 24 + -10m + 24n = -6n(-4 + n) 24 + -10m + 24n = (-4 * -6n + n * -6n) 24 + -10m + 24n = (24n + -6n2) Add '-24n' to each side of the equation. 24 + -10m + 24n + -24n = 24n + -24n + -6n2 Combine like terms: 24n + -24n = 0 24 + -10m + 0 = 24n + -24n + -6n2 24 + -10m = 24n + -24n + -6n2 Combine like terms: 24n + -24n = 0 24 + -10m = 0 + -6n2 24 + -10m = -6n2 Solving 24 + -10m = -6n2 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -10m = -24 + -6n2 Combine like terms: 24 + -24 = 0 0 + -10m = -24 + -6n2 -10m = -24 + -6n2 Divide each side by '-10'. m = 2.4 + 0.6n2 Simplifying m = 2.4 + 0.6n2
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