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Simplifying 7 = n + 5(n + -1) Reorder the terms: 7 = n + 5(-1 + n) 7 = n + (-1 * 5 + n * 5) 7 = n + (-5 + 5n) Reorder the terms: 7 = -5 + n + 5n Combine like terms: n + 5n = 6n 7 = -5 + 6n Solving 7 = -5 + 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 + -6n = -5 + 6n + -6n Combine like terms: 6n + -6n = 0 7 + -6n = -5 + 0 7 + -6n = -5 Add '-7' to each side of the equation. 7 + -7 + -6n = -5 + -7 Combine like terms: 7 + -7 = 0 0 + -6n = -5 + -7 -6n = -5 + -7 Combine like terms: -5 + -7 = -12 -6n = -12 Divide each side by '-6'. n = 2 Simplifying n = 2
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