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Simplifying -7n + -5 + 2n + -1(n + 1) = 0 Reorder the terms: -7n + -5 + 2n + -1(1 + n) = 0 -7n + -5 + 2n + (1 * -1 + n * -1) = 0 -7n + -5 + 2n + (-1 + -1n) = 0 Reorder the terms: -5 + -1 + -7n + 2n + -1n = 0 Combine like terms: -5 + -1 = -6 -6 + -7n + 2n + -1n = 0 Combine like terms: -7n + 2n = -5n -6 + -5n + -1n = 0 Combine like terms: -5n + -1n = -6n -6 + -6n = 0 Solving -6 + -6n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -6n = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -6n = 0 + 6 -6n = 0 + 6 Combine like terms: 0 + 6 = 6 -6n = 6 Divide each side by '-6'. n = -1 Simplifying n = -1
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