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Simplifying 6(5 + -4n) + 3(-8n + -8) = 6 (5 * 6 + -4n * 6) + 3(-8n + -8) = 6 (30 + -24n) + 3(-8n + -8) = 6 Reorder the terms: 30 + -24n + 3(-8 + -8n) = 6 30 + -24n + (-8 * 3 + -8n * 3) = 6 30 + -24n + (-24 + -24n) = 6 Reorder the terms: 30 + -24 + -24n + -24n = 6 Combine like terms: 30 + -24 = 6 6 + -24n + -24n = 6 Combine like terms: -24n + -24n = -48n 6 + -48n = 6 Add '-6' to each side of the equation. 6 + -6 + -48n = 6 + -6 Combine like terms: 6 + -6 = 0 0 + -48n = 6 + -6 -48n = 6 + -6 Combine like terms: 6 + -6 = 0 -48n = 0 Solving -48n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Divide each side by '-48'. n = 0 Simplifying n = 0
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