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Simplifying 4n + -32 = -1(8 + 2n) Reorder the terms: -32 + 4n = -1(8 + 2n) -32 + 4n = (8 * -1 + 2n * -1) -32 + 4n = (-8 + -2n) Solving -32 + 4n = -8 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -32 + 4n + 2n = -8 + -2n + 2n Combine like terms: 4n + 2n = 6n -32 + 6n = -8 + -2n + 2n Combine like terms: -2n + 2n = 0 -32 + 6n = -8 + 0 -32 + 6n = -8 Add '32' to each side of the equation. -32 + 32 + 6n = -8 + 32 Combine like terms: -32 + 32 = 0 0 + 6n = -8 + 32 6n = -8 + 32 Combine like terms: -8 + 32 = 24 6n = 24 Divide each side by '6'. n = 4 Simplifying n = 4
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