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Simplifying 6(n + -11) = 12 + 4(2n) Reorder the terms: 6(-11 + n) = 12 + 4(2n) (-11 * 6 + n * 6) = 12 + 4(2n) (-66 + 6n) = 12 + 4(2n) Remove parenthesis around (2n) -66 + 6n = 12 + 4 * 2n Multiply 4 * 2 -66 + 6n = 12 + 8n Solving -66 + 6n = 12 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -66 + 6n + -8n = 12 + 8n + -8n Combine like terms: 6n + -8n = -2n -66 + -2n = 12 + 8n + -8n Combine like terms: 8n + -8n = 0 -66 + -2n = 12 + 0 -66 + -2n = 12 Add '66' to each side of the equation. -66 + 66 + -2n = 12 + 66 Combine like terms: -66 + 66 = 0 0 + -2n = 12 + 66 -2n = 12 + 66 Combine like terms: 12 + 66 = 78 -2n = 78 Divide each side by '-2'. n = -39 Simplifying n = -39
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