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Simplifying -4(2n + -6) = n + 6 Reorder the terms: -4(-6 + 2n) = n + 6 (-6 * -4 + 2n * -4) = n + 6 (24 + -8n) = n + 6 Reorder the terms: 24 + -8n = 6 + n Solving 24 + -8n = 6 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 24 + -8n + -1n = 6 + n + -1n Combine like terms: -8n + -1n = -9n 24 + -9n = 6 + n + -1n Combine like terms: n + -1n = 0 24 + -9n = 6 + 0 24 + -9n = 6 Add '-24' to each side of the equation. 24 + -24 + -9n = 6 + -24 Combine like terms: 24 + -24 = 0 0 + -9n = 6 + -24 -9n = 6 + -24 Combine like terms: 6 + -24 = -18 -9n = -18 Divide each side by '-9'. n = 2 Simplifying n = 2
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