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Simplifying (9 + n) * 6 = 7(n + -4) Reorder the terms for easier multiplication: 6(9 + n) = 7(n + -4) (9 * 6 + n * 6) = 7(n + -4) (54 + 6n) = 7(n + -4) Reorder the terms: 54 + 6n = 7(-4 + n) 54 + 6n = (-4 * 7 + n * 7) 54 + 6n = (-28 + 7n) Solving 54 + 6n = -28 + 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 = -28 + 7n + -7n Combine like terms: 6n + -7n = -1n 54 + -1n = -28 + 7n + -7n Combine like terms: 7n + -7n = 0 54 + -1n = -28 + 0 54 + -1n = -28 Add '-54' to each side of the equation. 54 + -54 + -1n = -28 + -54 Combine like terms: 54 + -54 = 0 0 + -1n = -28 + -54 -1n = -28 + -54 Combine like terms: -28 + -54 = -82 -1n = -82 Divide each side by '-1'. n = 82 Simplifying n = 82
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