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Simplifying -4(2n + -2) = -22 + -2n Reorder the terms: -4(-2 + 2n) = -22 + -2n (-2 * -4 + 2n * -4) = -22 + -2n (8 + -8n) = -22 + -2n Solving 8 + -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. 8 + -8n + 2n = -22 + -2n + 2n Combine like terms: -8n + 2n = -6n 8 + -6n = -22 + -2n + 2n Combine like terms: -2n + 2n = 0 8 + -6n = -22 + 0 8 + -6n = -22 Add '-8' to each side of the equation. 8 + -8 + -6n = -22 + -8 Combine like terms: 8 + -8 = 0 0 + -6n = -22 + -8 -6n = -22 + -8 Combine like terms: -22 + -8 = -30 -6n = -30 Divide each side by '-6'. n = 5 Simplifying n = 5
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