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Simplifying -8(-6 + 3n) + -8(n + 3) = -72 (-6 * -8 + 3n * -8) + -8(n + 3) = -72 (48 + -24n) + -8(n + 3) = -72 Reorder the terms: 48 + -24n + -8(3 + n) = -72 48 + -24n + (3 * -8 + n * -8) = -72 48 + -24n + (-24 + -8n) = -72 Reorder the terms: 48 + -24 + -24n + -8n = -72 Combine like terms: 48 + -24 = 24 24 + -24n + -8n = -72 Combine like terms: -24n + -8n = -32n 24 + -32n = -72 Solving 24 + -32n = -72 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -32n = -72 + -24 Combine like terms: 24 + -24 = 0 0 + -32n = -72 + -24 -32n = -72 + -24 Combine like terms: -72 + -24 = -96 -32n = -96 Divide each side by '-32'. n = 3 Simplifying n = 3
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