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Simplifying 2 + -2(5 + 4n) = 32 + 2n 2 + (5 * -2 + 4n * -2) = 32 + 2n 2 + (-10 + -8n) = 32 + 2n Combine like terms: 2 + -10 = -8 -8 + -8n = 32 + 2n Solving -8 + -8n = 32 + 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 + -8n + -2n = 32 + 2n + -2n Combine like terms: -8n + -2n = -10n -8 + -10n = 32 + 2n + -2n Combine like terms: 2n + -2n = 0 -8 + -10n = 32 + 0 -8 + -10n = 32 Add '8' to each side of the equation. -8 + 8 + -10n = 32 + 8 Combine like terms: -8 + 8 = 0 0 + -10n = 32 + 8 -10n = 32 + 8 Combine like terms: 32 + 8 = 40 -10n = 40 Divide each side by '-10'. n = -4 Simplifying n = -4
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