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Simplifying n + 1 = 4(n + -8) Reorder the terms: 1 + n = 4(n + -8) Reorder the terms: 1 + n = 4(-8 + n) 1 + n = (-8 * 4 + n * 4) 1 + n = (-32 + 4n) Solving 1 + n = -32 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 1 + n + -4n = -32 + 4n + -4n Combine like terms: n + -4n = -3n 1 + -3n = -32 + 4n + -4n Combine like terms: 4n + -4n = 0 1 + -3n = -32 + 0 1 + -3n = -32 Add '-1' to each side of the equation. 1 + -1 + -3n = -32 + -1 Combine like terms: 1 + -1 = 0 0 + -3n = -32 + -1 -3n = -32 + -1 Combine like terms: -32 + -1 = -33 -3n = -33 Divide each side by '-3'. n = 11 Simplifying n = 11
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