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Simplifying 5(1 + -3n) + 4 = 33 + -3n (1 * 5 + -3n * 5) + 4 = 33 + -3n (5 + -15n) + 4 = 33 + -3n Reorder the terms: 5 + 4 + -15n = 33 + -3n Combine like terms: 5 + 4 = 9 9 + -15n = 33 + -3n Solving 9 + -15n = 33 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 9 + -15n + 3n = 33 + -3n + 3n Combine like terms: -15n + 3n = -12n 9 + -12n = 33 + -3n + 3n Combine like terms: -3n + 3n = 0 9 + -12n = 33 + 0 9 + -12n = 33 Add '-9' to each side of the equation. 9 + -9 + -12n = 33 + -9 Combine like terms: 9 + -9 = 0 0 + -12n = 33 + -9 -12n = 33 + -9 Combine like terms: 33 + -9 = 24 -12n = 24 Divide each side by '-12'. n = -2 Simplifying n = -2
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