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Simplifying -1(1 + -5n) + -7n = -7 (1 * -1 + -5n * -1) + -7n = -7 (-1 + 5n) + -7n = -7 Combine like terms: 5n + -7n = -2n -1 + -2n = -7 Solving -1 + -2n = -7 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -2n = -7 + 1 Combine like terms: -1 + 1 = 0 0 + -2n = -7 + 1 -2n = -7 + 1 Combine like terms: -7 + 1 = -6 -2n = -6 Divide each side by '-2'. n = 3 Simplifying n = 3
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