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Simplifying (7n + -5) * 2 = 2n + -14 Reorder the terms: (-5 + 7n) * 2 = 2n + -14 Reorder the terms for easier multiplication: 2(-5 + 7n) = 2n + -14 (-5 * 2 + 7n * 2) = 2n + -14 (-10 + 14n) = 2n + -14 Reorder the terms: -10 + 14n = -14 + 2n Solving -10 + 14n = -14 + 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. -10 + 14n + -2n = -14 + 2n + -2n Combine like terms: 14n + -2n = 12n -10 + 12n = -14 + 2n + -2n Combine like terms: 2n + -2n = 0 -10 + 12n = -14 + 0 -10 + 12n = -14 Add '10' to each side of the equation. -10 + 10 + 12n = -14 + 10 Combine like terms: -10 + 10 = 0 0 + 12n = -14 + 10 12n = -14 + 10 Combine like terms: -14 + 10 = -4 12n = -4 Divide each side by '12'. n = -0.3333333333 Simplifying n = -0.3333333333
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