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Simplifying -8 + -1n = 5n + -1(1 + 7n) -8 + -1n = 5n + (1 * -1 + 7n * -1) -8 + -1n = 5n + (-1 + -7n) Reorder the terms: -8 + -1n = -1 + 5n + -7n Combine like terms: 5n + -7n = -2n -8 + -1n = -1 + -2n Solving -8 + -1n = -1 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -8 + -1n + 2n = -1 + -2n + 2n Combine like terms: -1n + 2n = 1n -8 + 1n = -1 + -2n + 2n Combine like terms: -2n + 2n = 0 -8 + 1n = -1 + 0 -8 + 1n = -1 Add '8' to each side of the equation. -8 + 8 + 1n = -1 + 8 Combine like terms: -8 + 8 = 0 0 + 1n = -1 + 8 1n = -1 + 8 Combine like terms: -1 + 8 = 7 1n = 7 Divide each side by '1'. n = 7 Simplifying n = 7
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