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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 = 8 -2n = 8 Divide each side by '-2'. n = -4 Simplifying n = -4
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