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Simplifying 54 = 6(7 + n) 54 = (7 * 6 + n * 6) 54 = (42 + 6n) Solving 54 = 42 + 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. 54 + -6n = 42 + 6n + -6n Combine like terms: 6n + -6n = 0 54 + -6n = 42 + 0 54 + -6n = 42 Add '-54' to each side of the equation. 54 + -54 + -6n = 42 + -54 Combine like terms: 54 + -54 = 0 0 + -6n = 42 + -54 -6n = 42 + -54 Combine like terms: 42 + -54 = -12 -6n = -12 Divide each side by '-6'. n = 2 Simplifying n = 2
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