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Simplifying 32 + -5n = -8 + 8(5n + 5) Reorder the terms: 32 + -5n = -8 + 8(5 + 5n) 32 + -5n = -8 + (5 * 8 + 5n * 8) 32 + -5n = -8 + (40 + 40n) Combine like terms: -8 + 40 = 32 32 + -5n = 32 + 40n Add '-32' to each side of the equation. 32 + -32 + -5n = 32 + -32 + 40n Combine like terms: 32 + -32 = 0 0 + -5n = 32 + -32 + 40n -5n = 32 + -32 + 40n Combine like terms: 32 + -32 = 0 -5n = 0 + 40n -5n = 40n Solving -5n = 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. -5n + -40n = 40n + -40n Combine like terms: -5n + -40n = -45n -45n = 40n + -40n Combine like terms: 40n + -40n = 0 -45n = 0 Divide each side by '-45'. n = 0 Simplifying n = 0
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