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Simplifying -5(2n + -4) + -3(-5n + 2) = -7n + 5n Reorder the terms: -5(-4 + 2n) + -3(-5n + 2) = -7n + 5n (-4 * -5 + 2n * -5) + -3(-5n + 2) = -7n + 5n (20 + -10n) + -3(-5n + 2) = -7n + 5n Reorder the terms: 20 + -10n + -3(2 + -5n) = -7n + 5n 20 + -10n + (2 * -3 + -5n * -3) = -7n + 5n 20 + -10n + (-6 + 15n) = -7n + 5n Reorder the terms: 20 + -6 + -10n + 15n = -7n + 5n Combine like terms: 20 + -6 = 14 14 + -10n + 15n = -7n + 5n Combine like terms: -10n + 15n = 5n 14 + 5n = -7n + 5n Combine like terms: -7n + 5n = -2n 14 + 5n = -2n Solving 14 + 5n = -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. 14 + 5n + 2n = -2n + 2n Combine like terms: 5n + 2n = 7n 14 + 7n = -2n + 2n Combine like terms: -2n + 2n = 0 14 + 7n = 0 Add '-14' to each side of the equation. 14 + -14 + 7n = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 7n = 0 + -14 7n = 0 + -14 Combine like terms: 0 + -14 = -14 7n = -14 Divide each side by '7'. n = -2 Simplifying n = -2
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