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Simplifying 6(n + -11) = 12 + 4(2n + -3) Reorder the terms: 6(-11 + n) = 12 + 4(2n + -3) (-11 * 6 + n * 6) = 12 + 4(2n + -3) (-66 + 6n) = 12 + 4(2n + -3) Reorder the terms: -66 + 6n = 12 + 4(-3 + 2n) -66 + 6n = 12 + (-3 * 4 + 2n * 4) -66 + 6n = 12 + (-12 + 8n) Combine like terms: 12 + -12 = 0 -66 + 6n = 0 + 8n -66 + 6n = 8n Solving -66 + 6n = 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 = 8n + -8n Combine like terms: 6n + -8n = -2n -66 + -2n = 8n + -8n Combine like terms: 8n + -8n = 0 -66 + -2n = 0 Add '66' to each side of the equation. -66 + 66 + -2n = 0 + 66 Combine like terms: -66 + 66 = 0 0 + -2n = 0 + 66 -2n = 0 + 66 Combine like terms: 0 + 66 = 66 -2n = 66 Divide each side by '-2'. n = -33 Simplifying n = -33
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