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Simplifying 8n + -2(-2n + -3) = -18 + 6n Reorder the terms: 8n + -2(-3 + -2n) = -18 + 6n 8n + (-3 * -2 + -2n * -2) = -18 + 6n 8n + (6 + 4n) = -18 + 6n Reorder the terms: 6 + 8n + 4n = -18 + 6n Combine like terms: 8n + 4n = 12n 6 + 12n = -18 + 6n Solving 6 + 12n = -18 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 6 + 12n + -6n = -18 + 6n + -6n Combine like terms: 12n + -6n = 6n 6 + 6n = -18 + 6n + -6n Combine like terms: 6n + -6n = 0 6 + 6n = -18 + 0 6 + 6n = -18 Add '-6' to each side of the equation. 6 + -6 + 6n = -18 + -6 Combine like terms: 6 + -6 = 0 0 + 6n = -18 + -6 6n = -18 + -6 Combine like terms: -18 + -6 = -24 6n = -24 Divide each side by '6'. n = -4 Simplifying n = -4
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