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Simplifying 7(n + -8) = n + -32 Reorder the terms: 7(-8 + n) = n + -32 (-8 * 7 + n * 7) = n + -32 (-56 + 7n) = n + -32 Reorder the terms: -56 + 7n = -32 + n Solving -56 + 7n = -32 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -56 + 7n + -1n = -32 + n + -1n Combine like terms: 7n + -1n = 6n -56 + 6n = -32 + n + -1n Combine like terms: n + -1n = 0 -56 + 6n = -32 + 0 -56 + 6n = -32 Add '56' to each side of the equation. -56 + 56 + 6n = -32 + 56 Combine like terms: -56 + 56 = 0 0 + 6n = -32 + 56 6n = -32 + 56 Combine like terms: -32 + 56 = 24 6n = 24 Divide each side by '6'. n = 4 Simplifying n = 4
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