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Simplifying -2n + 4(2 + -1n) = 2(4n + 32) -2n + (2 * 4 + -1n * 4) = 2(4n + 32) -2n + (8 + -4n) = 2(4n + 32) Reorder the terms: 8 + -2n + -4n = 2(4n + 32) Combine like terms: -2n + -4n = -6n 8 + -6n = 2(4n + 32) Reorder the terms: 8 + -6n = 2(32 + 4n) 8 + -6n = (32 * 2 + 4n * 2) 8 + -6n = (64 + 8n) Solving 8 + -6n = 64 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 8 + -6n + -8n = 64 + 8n + -8n Combine like terms: -6n + -8n = -14n 8 + -14n = 64 + 8n + -8n Combine like terms: 8n + -8n = 0 8 + -14n = 64 + 0 8 + -14n = 64 Add '-8' to each side of the equation. 8 + -8 + -14n = 64 + -8 Combine like terms: 8 + -8 = 0 0 + -14n = 64 + -8 -14n = 64 + -8 Combine like terms: 64 + -8 = 56 -14n = 56 Divide each side by '-14'. n = -4 Simplifying n = -4
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