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Simplifying 6(n + 3) = -26 + -2(n + -2) Reorder the terms: 6(3 + n) = -26 + -2(n + -2) (3 * 6 + n * 6) = -26 + -2(n + -2) (18 + 6n) = -26 + -2(n + -2) Reorder the terms: 18 + 6n = -26 + -2(-2 + n) 18 + 6n = -26 + (-2 * -2 + n * -2) 18 + 6n = -26 + (4 + -2n) Combine like terms: -26 + 4 = -22 18 + 6n = -22 + -2n Solving 18 + 6n = -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. 18 + 6n + 2n = -22 + -2n + 2n Combine like terms: 6n + 2n = 8n 18 + 8n = -22 + -2n + 2n Combine like terms: -2n + 2n = 0 18 + 8n = -22 + 0 18 + 8n = -22 Add '-18' to each side of the equation. 18 + -18 + 8n = -22 + -18 Combine like terms: 18 + -18 = 0 0 + 8n = -22 + -18 8n = -22 + -18 Combine like terms: -22 + -18 = -40 8n = -40 Divide each side by '8'. n = -5 Simplifying n = -5
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