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Simplifying 5(-2n + 2) = 2(n + 8) + -6 Reorder the terms: 5(2 + -2n) = 2(n + 8) + -6 (2 * 5 + -2n * 5) = 2(n + 8) + -6 (10 + -10n) = 2(n + 8) + -6 Reorder the terms: 10 + -10n = 2(8 + n) + -6 10 + -10n = (8 * 2 + n * 2) + -6 10 + -10n = (16 + 2n) + -6 Reorder the terms: 10 + -10n = 16 + -6 + 2n Combine like terms: 16 + -6 = 10 10 + -10n = 10 + 2n Add '-10' to each side of the equation. 10 + -10 + -10n = 10 + -10 + 2n Combine like terms: 10 + -10 = 0 0 + -10n = 10 + -10 + 2n -10n = 10 + -10 + 2n Combine like terms: 10 + -10 = 0 -10n = 0 + 2n -10n = 2n Solving -10n = 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. -10n + -2n = 2n + -2n Combine like terms: -10n + -2n = -12n -12n = 2n + -2n Combine like terms: 2n + -2n = 0 -12n = 0 Divide each side by '-12'. n = 0 Simplifying n = 0
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