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Simplifying 4(2n + -8) = -22 + -2n Reorder the terms: 4(-8 + 2n) = -22 + -2n (-8 * 4 + 2n * 4) = -22 + -2n (-32 + 8n) = -22 + -2n Solving -32 + 8n = -22 + -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. -32 + 8n + 2n = -22 + -2n + 2n Combine like terms: 8n + 2n = 10n -32 + 10n = -22 + -2n + 2n Combine like terms: -2n + 2n = 0 -32 + 10n = -22 + 0 -32 + 10n = -22 Add '32' to each side of the equation. -32 + 32 + 10n = -22 + 32 Combine like terms: -32 + 32 = 0 0 + 10n = -22 + 32 10n = -22 + 32 Combine like terms: -22 + 32 = 10 10n = 10 Divide each side by '10'. n = 1 Simplifying n = 1
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