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Simplifying (n + 4) + -1(n + -8) = n Reorder the terms: (4 + n) + -1(n + -8) = n Remove parenthesis around (4 + n) 4 + n + -1(n + -8) = n Reorder the terms: 4 + n + -1(-8 + n) = n 4 + n + (-8 * -1 + n * -1) = n 4 + n + (8 + -1n) = n Reorder the terms: 4 + 8 + n + -1n = n Combine like terms: 4 + 8 = 12 12 + n + -1n = n Combine like terms: n + -1n = 0 12 + 0 = n 12 = n Solving 12 = n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 12 + -1n = n + -1n Combine like terms: n + -1n = 0 12 + -1n = 0 Add '-12' to each side of the equation. 12 + -12 + -1n = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1n = 0 + -12 -1n = 0 + -12 Combine like terms: 0 + -12 = -12 -1n = -12 Divide each side by '-1'. n = 12 Simplifying n = 12
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