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Simplifying -1 + -2(-6n + 1) = 33 + -6n Reorder the terms: -1 + -2(1 + -6n) = 33 + -6n -1 + (1 * -2 + -6n * -2) = 33 + -6n -1 + (-2 + 12n) = 33 + -6n Combine like terms: -1 + -2 = -3 -3 + 12n = 33 + -6n Solving -3 + 12n = 33 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -3 + 12n + 6n = 33 + -6n + 6n Combine like terms: 12n + 6n = 18n -3 + 18n = 33 + -6n + 6n Combine like terms: -6n + 6n = 0 -3 + 18n = 33 + 0 -3 + 18n = 33 Add '3' to each side of the equation. -3 + 3 + 18n = 33 + 3 Combine like terms: -3 + 3 = 0 0 + 18n = 33 + 3 18n = 33 + 3 Combine like terms: 33 + 3 = 36 18n = 36 Divide each side by '18'. n = 2 Simplifying n = 2
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