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Simplifying -7(n + 9) = 9 + -6n Reorder the terms: -7(9 + n) = 9 + -6n (9 * -7 + n * -7) = 9 + -6n (-63 + -7n) = 9 + -6n Solving -63 + -7n = 9 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -63 + -7n + 6n = 9 + -6n + 6n Combine like terms: -7n + 6n = -1n -63 + -1n = 9 + -6n + 6n Combine like terms: -6n + 6n = 0 -63 + -1n = 9 + 0 -63 + -1n = 9 Add '63' to each side of the equation. -63 + 63 + -1n = 9 + 63 Combine like terms: -63 + 63 = 0 0 + -1n = 9 + 63 -1n = 9 + 63 Combine like terms: 9 + 63 = 72 -1n = 72 Divide each side by '-1'. n = -72 Simplifying n = -72
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