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Simplifying 4 + 5(n + 3) = 3(2n + 3) Reorder the terms: 4 + 5(3 + n) = 3(2n + 3) 4 + (3 * 5 + n * 5) = 3(2n + 3) 4 + (15 + 5n) = 3(2n + 3) Combine like terms: 4 + 15 = 19 19 + 5n = 3(2n + 3) Reorder the terms: 19 + 5n = 3(3 + 2n) 19 + 5n = (3 * 3 + 2n * 3) 19 + 5n = (9 + 6n) Solving 19 + 5n = 9 + 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. 19 + 5n + -6n = 9 + 6n + -6n Combine like terms: 5n + -6n = -1n 19 + -1n = 9 + 6n + -6n Combine like terms: 6n + -6n = 0 19 + -1n = 9 + 0 19 + -1n = 9 Add '-19' to each side of the equation. 19 + -19 + -1n = 9 + -19 Combine like terms: 19 + -19 = 0 0 + -1n = 9 + -19 -1n = 9 + -19 Combine like terms: 9 + -19 = -10 -1n = -10 Divide each side by '-1'. n = 10 Simplifying n = 10
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