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Simplifying 4(3n + 2) + 45(3n) + -3 = 0 Reorder the terms: 4(2 + 3n) + 45(3n) + -3 = 0 (2 * 4 + 3n * 4) + 45(3n) + -3 = 0 (8 + 12n) + 45(3n) + -3 = 0 Remove parenthesis around (3n) 8 + 12n + 45 * 3n + -3 = 0 Multiply 45 * 3 8 + 12n + 135n + -3 = 0 Reorder the terms: 8 + -3 + 12n + 135n = 0 Combine like terms: 8 + -3 = 5 5 + 12n + 135n = 0 Combine like terms: 12n + 135n = 147n 5 + 147n = 0 Solving 5 + 147n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 147n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 147n = 0 + -5 147n = 0 + -5 Combine like terms: 0 + -5 = -5 147n = -5 Divide each side by '147'. n = -0.03401360544 Simplifying n = -0.03401360544
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