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Simplifying -32 + 3n = 4 + 5(-5n + 4) Reorder the terms: -32 + 3n = 4 + 5(4 + -5n) -32 + 3n = 4 + (4 * 5 + -5n * 5) -32 + 3n = 4 + (20 + -25n) Combine like terms: 4 + 20 = 24 -32 + 3n = 24 + -25n Solving -32 + 3n = 24 + -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 + 3n + 25n = 24 + -25n + 25n Combine like terms: 3n + 25n = 28n -32 + 28n = 24 + -25n + 25n Combine like terms: -25n + 25n = 0 -32 + 28n = 24 + 0 -32 + 28n = 24 Add '32' to each side of the equation. -32 + 32 + 28n = 24 + 32 Combine like terms: -32 + 32 = 0 0 + 28n = 24 + 32 28n = 24 + 32 Combine like terms: 24 + 32 = 56 28n = 56 Divide each side by '28'. n = 2 Simplifying n = 2
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