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Simplifying 33 + -2n = 6(-1 + 5n) + 7n 33 + -2n = (-1 * 6 + 5n * 6) + 7n 33 + -2n = (-6 + 30n) + 7n Combine like terms: 30n + 7n = 37n 33 + -2n = -6 + 37n Solving 33 + -2n = -6 + 37n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-37n' to each side of the equation. 33 + -2n + -37n = -6 + 37n + -37n Combine like terms: -2n + -37n = -39n 33 + -39n = -6 + 37n + -37n Combine like terms: 37n + -37n = 0 33 + -39n = -6 + 0 33 + -39n = -6 Add '-33' to each side of the equation. 33 + -33 + -39n = -6 + -33 Combine like terms: 33 + -33 = 0 0 + -39n = -6 + -33 -39n = -6 + -33 Combine like terms: -6 + -33 = -39 -39n = -39 Divide each side by '-39'. n = 1 Simplifying n = 1
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