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Simplifying -66 = -6(2n + 1) Reorder the terms: -66 = -6(1 + 2n) -66 = (1 * -6 + 2n * -6) -66 = (-6 + -12n) Solving -66 = -6 + -12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12n' to each side of the equation. -66 + 12n = -6 + -12n + 12n Combine like terms: -12n + 12n = 0 -66 + 12n = -6 + 0 -66 + 12n = -6 Add '66' to each side of the equation. -66 + 66 + 12n = -6 + 66 Combine like terms: -66 + 66 = 0 0 + 12n = -6 + 66 12n = -6 + 66 Combine like terms: -6 + 66 = 60 12n = 60 Divide each side by '12'. n = 5 Simplifying n = 5
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