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Simplifying 6n + (7(8 + -1n)) = (4(n + -8)) + 3n 6n + ((8 * 7 + -1n * 7)) = (4(n + -8)) + 3n 6n + ((56 + -7n)) = (4(n + -8)) + 3n 6n + (56 + -7n) = (4(n + -8)) + 3n Remove parenthesis around (56 + -7n) 6n + 56 + -7n = (4(n + -8)) + 3n Reorder the terms: 56 + 6n + -7n = (4(n + -8)) + 3n Combine like terms: 6n + -7n = -1n 56 + -1n = (4(n + -8)) + 3n Reorder the terms: 56 + -1n = (4(-8 + n)) + 3n 56 + -1n = ((-8 * 4 + n * 4)) + 3n 56 + -1n = ((-32 + 4n)) + 3n 56 + -1n = (-32 + 4n) + 3n Remove parenthesis around (-32 + 4n) 56 + -1n = -32 + 4n + 3n Combine like terms: 4n + 3n = 7n 56 + -1n = -32 + 7n Solving 56 + -1n = -32 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 56 + -1n + -7n = -32 + 7n + -7n Combine like terms: -1n + -7n = -8n 56 + -8n = -32 + 7n + -7n Combine like terms: 7n + -7n = 0 56 + -8n = -32 + 0 56 + -8n = -32 Add '-56' to each side of the equation. 56 + -56 + -8n = -32 + -56 Combine like terms: 56 + -56 = 0 0 + -8n = -32 + -56 -8n = -32 + -56 Combine like terms: -32 + -56 = -88 -8n = -88 Divide each side by '-8'. n = 11 Simplifying n = 11
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