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Simplifying -2(1 + -7n) = 2n + 10 (1 * -2 + -7n * -2) = 2n + 10 (-2 + 14n) = 2n + 10 Reorder the terms: -2 + 14n = 10 + 2n Solving -2 + 14n = 10 + 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. -2 + 14n + -2n = 10 + 2n + -2n Combine like terms: 14n + -2n = 12n -2 + 12n = 10 + 2n + -2n Combine like terms: 2n + -2n = 0 -2 + 12n = 10 + 0 -2 + 12n = 10 Add '2' to each side of the equation. -2 + 2 + 12n = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 12n = 10 + 2 12n = 10 + 2 Combine like terms: 10 + 2 = 12 12n = 12 Divide each side by '12'. n = 1 Simplifying n = 1
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