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