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Simplifying 6(n + 7) = (n + 7) Reorder the terms: 6(7 + n) = (n + 7) (7 * 6 + n * 6) = (n + 7) (42 + 6n) = (n + 7) Reorder the terms: 42 + 6n = (7 + n) Remove parenthesis around (7 + n) 42 + 6n = 7 + n Solving 42 + 6n = 7 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 42 + 6n + -1n = 7 + n + -1n Combine like terms: 6n + -1n = 5n 42 + 5n = 7 + n + -1n Combine like terms: n + -1n = 0 42 + 5n = 7 + 0 42 + 5n = 7 Add '-42' to each side of the equation. 42 + -42 + 5n = 7 + -42 Combine like terms: 42 + -42 = 0 0 + 5n = 7 + -42 5n = 7 + -42 Combine like terms: 7 + -42 = -35 5n = -35 Divide each side by '5'. n = -7 Simplifying n = -7
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