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Simplifying 5(n + -6) + -1(2 + -1n) = 0 Reorder the terms: 5(-6 + n) + -1(2 + -1n) = 0 (-6 * 5 + n * 5) + -1(2 + -1n) = 0 (-30 + 5n) + -1(2 + -1n) = 0 -30 + 5n + (2 * -1 + -1n * -1) = 0 -30 + 5n + (-2 + 1n) = 0 Reorder the terms: -30 + -2 + 5n + 1n = 0 Combine like terms: -30 + -2 = -32 -32 + 5n + 1n = 0 Combine like terms: 5n + 1n = 6n -32 + 6n = 0 Solving -32 + 6n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 6n = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 6n = 0 + 32 6n = 0 + 32 Combine like terms: 0 + 32 = 32 6n = 32 Divide each side by '6'. n = 5.333333333 Simplifying n = 5.333333333
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