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Simplifying 6(n + -11) = 12 + 2(2n + -3) Reorder the terms: 6(-11 + n) = 12 + 2(2n + -3) (-11 * 6 + n * 6) = 12 + 2(2n + -3) (-66 + 6n) = 12 + 2(2n + -3) Reorder the terms: -66 + 6n = 12 + 2(-3 + 2n) -66 + 6n = 12 + (-3 * 2 + 2n * 2) -66 + 6n = 12 + (-6 + 4n) Combine like terms: 12 + -6 = 6 -66 + 6n = 6 + 4n Solving -66 + 6n = 6 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -66 + 6n + -4n = 6 + 4n + -4n Combine like terms: 6n + -4n = 2n -66 + 2n = 6 + 4n + -4n Combine like terms: 4n + -4n = 0 -66 + 2n = 6 + 0 -66 + 2n = 6 Add '66' to each side of the equation. -66 + 66 + 2n = 6 + 66 Combine like terms: -66 + 66 = 0 0 + 2n = 6 + 66 2n = 6 + 66 Combine like terms: 6 + 66 = 72 2n = 72 Divide each side by '2'. n = 36 Simplifying n = 36
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