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Simplifying -32 + n = -1(n + 8) Reorder the terms: -32 + n = -1(8 + n) -32 + n = (8 * -1 + n * -1) -32 + n = (-8 + -1n) Solving -32 + n = -8 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -32 + n + n = -8 + -1n + n Combine like terms: n + n = 2n -32 + 2n = -8 + -1n + n Combine like terms: -1n + n = 0 -32 + 2n = -8 + 0 -32 + 2n = -8 Add '32' to each side of the equation. -32 + 32 + 2n = -8 + 32 Combine like terms: -32 + 32 = 0 0 + 2n = -8 + 32 2n = -8 + 32 Combine like terms: -8 + 32 = 24 2n = 24 Divide each side by '2'. n = 12 Simplifying n = 12
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