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Simplifying -1(8 + 7n) = 2n + -35 (8 * -1 + 7n * -1) = 2n + -35 (-8 + -7n) = 2n + -35 Reorder the terms: -8 + -7n = -35 + 2n Solving -8 + -7n = -35 + 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 + -7n + -2n = -35 + 2n + -2n Combine like terms: -7n + -2n = -9n -8 + -9n = -35 + 2n + -2n Combine like terms: 2n + -2n = 0 -8 + -9n = -35 + 0 -8 + -9n = -35 Add '8' to each side of the equation. -8 + 8 + -9n = -35 + 8 Combine like terms: -8 + 8 = 0 0 + -9n = -35 + 8 -9n = -35 + 8 Combine like terms: -35 + 8 = -27 -9n = -27 Divide each side by '-9'. n = 3 Simplifying n = 3
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