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Simplifying -253 = -5 + 8(4 + 5n) -253 = -5 + (4 * 8 + 5n * 8) -253 = -5 + (32 + 40n) Combine like terms: -5 + 32 = 27 -253 = 27 + 40n Solving -253 = 27 + 40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40n' to each side of the equation. -253 + -40n = 27 + 40n + -40n Combine like terms: 40n + -40n = 0 -253 + -40n = 27 + 0 -253 + -40n = 27 Add '253' to each side of the equation. -253 + 253 + -40n = 27 + 253 Combine like terms: -253 + 253 = 0 0 + -40n = 27 + 253 -40n = 27 + 253 Combine like terms: 27 + 253 = 280 -40n = 280 Divide each side by '-40'. n = -7 Simplifying n = -7
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