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Simplifying 6(n + -9) = 8 + 7n Reorder the terms: 6(-9 + n) = 8 + 7n (-9 * 6 + n * 6) = 8 + 7n (-54 + 6n) = 8 + 7n Solving -54 + 6n = 8 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -54 + 6n + -7n = 8 + 7n + -7n Combine like terms: 6n + -7n = -1n -54 + -1n = 8 + 7n + -7n Combine like terms: 7n + -7n = 0 -54 + -1n = 8 + 0 -54 + -1n = 8 Add '54' to each side of the equation. -54 + 54 + -1n = 8 + 54 Combine like terms: -54 + 54 = 0 0 + -1n = 8 + 54 -1n = 8 + 54 Combine like terms: 8 + 54 = 62 -1n = 62 Divide each side by '-1'. n = -62 Simplifying n = -62
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