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Simplifying 4(3 + -2n) = n + 66 (3 * 4 + -2n * 4) = n + 66 (12 + -8n) = n + 66 Reorder the terms: 12 + -8n = 66 + n Solving 12 + -8n = 66 + 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. 12 + -8n + -1n = 66 + n + -1n Combine like terms: -8n + -1n = -9n 12 + -9n = 66 + n + -1n Combine like terms: n + -1n = 0 12 + -9n = 66 + 0 12 + -9n = 66 Add '-12' to each side of the equation. 12 + -12 + -9n = 66 + -12 Combine like terms: 12 + -12 = 0 0 + -9n = 66 + -12 -9n = 66 + -12 Combine like terms: 66 + -12 = 54 -9n = 54 Divide each side by '-9'. n = -6 Simplifying n = -6
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