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Simplifying 4n + 32 = -2 + -5(5n + -1) Reorder the terms: 32 + 4n = -2 + -5(5n + -1) Reorder the terms: 32 + 4n = -2 + -5(-1 + 5n) 32 + 4n = -2 + (-1 * -5 + 5n * -5) 32 + 4n = -2 + (5 + -25n) Combine like terms: -2 + 5 = 3 32 + 4n = 3 + -25n Solving 32 + 4n = 3 + -25n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '25n' to each side of the equation. 32 + 4n + 25n = 3 + -25n + 25n Combine like terms: 4n + 25n = 29n 32 + 29n = 3 + -25n + 25n Combine like terms: -25n + 25n = 0 32 + 29n = 3 + 0 32 + 29n = 3 Add '-32' to each side of the equation. 32 + -32 + 29n = 3 + -32 Combine like terms: 32 + -32 = 0 0 + 29n = 3 + -32 29n = 3 + -32 Combine like terms: 3 + -32 = -29 29n = -29 Divide each side by '29'. n = -1 Simplifying n = -1
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