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Simplifying -161 = -1 + 8(4 + -4n) -161 = -1 + (4 * 8 + -4n * 8) -161 = -1 + (32 + -32n) Combine like terms: -1 + 32 = 31 -161 = 31 + -32n Solving -161 = 31 + -32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '32n' to each side of the equation. -161 + 32n = 31 + -32n + 32n Combine like terms: -32n + 32n = 0 -161 + 32n = 31 + 0 -161 + 32n = 31 Add '161' to each side of the equation. -161 + 161 + 32n = 31 + 161 Combine like terms: -161 + 161 = 0 0 + 32n = 31 + 161 32n = 31 + 161 Combine like terms: 31 + 161 = 192 32n = 192 Divide each side by '32'. n = 6 Simplifying n = 6
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