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Simplifying -5 + -5n = -1(1 + 7n) -5 + -5n = (1 * -1 + 7n * -1) -5 + -5n = (-1 + -7n) Solving -5 + -5n = -1 + -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 + -5n + 7n = -1 + -7n + 7n Combine like terms: -5n + 7n = 2n -5 + 2n = -1 + -7n + 7n Combine like terms: -7n + 7n = 0 -5 + 2n = -1 + 0 -5 + 2n = -1 Add '5' to each side of the equation. -5 + 5 + 2n = -1 + 5 Combine like terms: -5 + 5 = 0 0 + 2n = -1 + 5 2n = -1 + 5 Combine like terms: -1 + 5 = 4 2n = 4 Divide each side by '2'. n = 2 Simplifying n = 2
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