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Simplifying 5(4 + 2n) + -1(8n + -12) = 68 (4 * 5 + 2n * 5) + -1(8n + -12) = 68 (20 + 10n) + -1(8n + -12) = 68 Reorder the terms: 20 + 10n + -1(-12 + 8n) = 68 20 + 10n + (-12 * -1 + 8n * -1) = 68 20 + 10n + (12 + -8n) = 68 Reorder the terms: 20 + 12 + 10n + -8n = 68 Combine like terms: 20 + 12 = 32 32 + 10n + -8n = 68 Combine like terms: 10n + -8n = 2n 32 + 2n = 68 Solving 32 + 2n = 68 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 2n = 68 + -32 Combine like terms: 32 + -32 = 0 0 + 2n = 68 + -32 2n = 68 + -32 Combine like terms: 68 + -32 = 36 2n = 36 Divide each side by '2'. n = 18 Simplifying n = 18
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