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Simplifying -282 = -2n + 8(1 + -7n) -282 = -2n + (1 * 8 + -7n * 8) -282 = -2n + (8 + -56n) Reorder the terms: -282 = 8 + -2n + -56n Combine like terms: -2n + -56n = -58n -282 = 8 + -58n Solving -282 = 8 + -58n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '58n' to each side of the equation. -282 + 58n = 8 + -58n + 58n Combine like terms: -58n + 58n = 0 -282 + 58n = 8 + 0 -282 + 58n = 8 Add '282' to each side of the equation. -282 + 282 + 58n = 8 + 282 Combine like terms: -282 + 282 = 0 0 + 58n = 8 + 282 58n = 8 + 282 Combine like terms: 8 + 282 = 290 58n = 290 Divide each side by '58'. n = 5 Simplifying n = 5
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