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Simplifying 3 + 3n + -2 = 9n + 33 + -2n Reorder the terms: 3 + -2 + 3n = 9n + 33 + -2n Combine like terms: 3 + -2 = 1 1 + 3n = 9n + 33 + -2n Reorder the terms: 1 + 3n = 33 + 9n + -2n Combine like terms: 9n + -2n = 7n 1 + 3n = 33 + 7n Solving 1 + 3n = 33 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 1 + 3n + -7n = 33 + 7n + -7n Combine like terms: 3n + -7n = -4n 1 + -4n = 33 + 7n + -7n Combine like terms: 7n + -7n = 0 1 + -4n = 33 + 0 1 + -4n = 33 Add '-1' to each side of the equation. 1 + -1 + -4n = 33 + -1 Combine like terms: 1 + -1 = 0 0 + -4n = 33 + -1 -4n = 33 + -1 Combine like terms: 33 + -1 = 32 -4n = 32 Divide each side by '-4'. n = -8 Simplifying n = -8
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