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Simplifying 6(n + -8) + 2 = -32 + -1n Reorder the terms: 6(-8 + n) + 2 = -32 + -1n (-8 * 6 + n * 6) + 2 = -32 + -1n (-48 + 6n) + 2 = -32 + -1n Reorder the terms: -48 + 2 + 6n = -32 + -1n Combine like terms: -48 + 2 = -46 -46 + 6n = -32 + -1n Solving -46 + 6n = -32 + -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. -46 + 6n + n = -32 + -1n + n Combine like terms: 6n + n = 7n -46 + 7n = -32 + -1n + n Combine like terms: -1n + n = 0 -46 + 7n = -32 + 0 -46 + 7n = -32 Add '46' to each side of the equation. -46 + 46 + 7n = -32 + 46 Combine like terms: -46 + 46 = 0 0 + 7n = -32 + 46 7n = -32 + 46 Combine like terms: -32 + 46 = 14 7n = 14 Divide each side by '7'. n = 2 Simplifying n = 2
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