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Simplifying (n + 7) = 6n + 42 Reorder the terms: (7 + n) = 6n + 42 Remove parenthesis around (7 + n) 7 + n = 6n + 42 Reorder the terms: 7 + n = 42 + 6n Solving 7 + n = 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. 7 + n + -6n = 42 + 6n + -6n Combine like terms: n + -6n = -5n 7 + -5n = 42 + 6n + -6n Combine like terms: 6n + -6n = 0 7 + -5n = 42 + 0 7 + -5n = 42 Add '-7' to each side of the equation. 7 + -7 + -5n = 42 + -7 Combine like terms: 7 + -7 = 0 0 + -5n = 42 + -7 -5n = 42 + -7 Combine like terms: 42 + -7 = 35 -5n = 35 Divide each side by '-5'. n = -7 Simplifying n = -7
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