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Simplifying -3(1 + -5n) = 33 + 6n (1 * -3 + -5n * -3) = 33 + 6n (-3 + 15n) = 33 + 6n Solving -3 + 15n = 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 + 15n + -6n = 33 + 6n + -6n Combine like terms: 15n + -6n = 9n -3 + 9n = 33 + 6n + -6n Combine like terms: 6n + -6n = 0 -3 + 9n = 33 + 0 -3 + 9n = 33 Add '3' to each side of the equation. -3 + 3 + 9n = 33 + 3 Combine like terms: -3 + 3 = 0 0 + 9n = 33 + 3 9n = 33 + 3 Combine like terms: 33 + 3 = 36 9n = 36 Divide each side by '9'. n = 4 Simplifying n = 4
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