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Simplifying 6(n + -9) + -1(4 + -1n) = 0 Reorder the terms: 6(-9 + n) + -1(4 + -1n) = 0 (-9 * 6 + n * 6) + -1(4 + -1n) = 0 (-54 + 6n) + -1(4 + -1n) = 0 -54 + 6n + (4 * -1 + -1n * -1) = 0 -54 + 6n + (-4 + 1n) = 0 Reorder the terms: -54 + -4 + 6n + 1n = 0 Combine like terms: -54 + -4 = -58 -58 + 6n + 1n = 0 Combine like terms: 6n + 1n = 7n -58 + 7n = 0 Solving -58 + 7n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '58' to each side of the equation. -58 + 58 + 7n = 0 + 58 Combine like terms: -58 + 58 = 0 0 + 7n = 0 + 58 7n = 0 + 58 Combine like terms: 0 + 58 = 58 7n = 58 Divide each side by '7'. n = 8.285714286 Simplifying n = 8.285714286
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