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Simplifying -152 = 4n + 8(8 + -5n) -152 = 4n + (8 * 8 + -5n * 8) -152 = 4n + (64 + -40n) Reorder the terms: -152 = 64 + 4n + -40n Combine like terms: 4n + -40n = -36n -152 = 64 + -36n Solving -152 = 64 + -36n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '36n' to each side of the equation. -152 + 36n = 64 + -36n + 36n Combine like terms: -36n + 36n = 0 -152 + 36n = 64 + 0 -152 + 36n = 64 Add '152' to each side of the equation. -152 + 152 + 36n = 64 + 152 Combine like terms: -152 + 152 = 0 0 + 36n = 64 + 152 36n = 64 + 152 Combine like terms: 64 + 152 = 216 36n = 216 Divide each side by '36'. n = 6 Simplifying n = 6
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