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Simplifying -2 + 3(1 + -1n) = 33 + n -2 + (1 * 3 + -1n * 3) = 33 + n -2 + (3 + -3n) = 33 + n Combine like terms: -2 + 3 = 1 1 + -3n = 33 + n Solving 1 + -3n = 33 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 1 + -3n + -1n = 33 + n + -1n Combine like terms: -3n + -1n = -4n 1 + -4n = 33 + n + -1n Combine like terms: n + -1n = 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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