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Simplifying -10m + 3(8 + 8n) = -6(n + -4) -10m + (8 * 3 + 8n * 3) = -6(n + -4) -10m + (24 + 24n) = -6(n + -4) Reorder the terms: 24 + -10m + 24n = -6(n + -4) Reorder the terms: 24 + -10m + 24n = -6(-4 + n) 24 + -10m + 24n = (-4 * -6 + n * -6) 24 + -10m + 24n = (24 + -6n) Add '-24' to each side of the equation. 24 + -10m + -24 + 24n = 24 + -24 + -6n Reorder the terms: 24 + -24 + -10m + 24n = 24 + -24 + -6n Combine like terms: 24 + -24 = 0 0 + -10m + 24n = 24 + -24 + -6n -10m + 24n = 24 + -24 + -6n Combine like terms: 24 + -24 = 0 -10m + 24n = 0 + -6n -10m + 24n = -6n Solving -10m + 24n = -6n Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-24n' to each side of the equation. -10m + 24n + -24n = -6n + -24n Combine like terms: 24n + -24n = 0 -10m + 0 = -6n + -24n -10m = -6n + -24n Combine like terms: -6n + -24n = -30n -10m = -30n Divide each side by '-10'. m = 3n Simplifying m = 3n
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