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Simplifying 2(3n + 2) = 7(3n + 3) + 5 Reorder the terms: 2(2 + 3n) = 7(3n + 3) + 5 (2 * 2 + 3n * 2) = 7(3n + 3) + 5 (4 + 6n) = 7(3n + 3) + 5 Reorder the terms: 4 + 6n = 7(3 + 3n) + 5 4 + 6n = (3 * 7 + 3n * 7) + 5 4 + 6n = (21 + 21n) + 5 Reorder the terms: 4 + 6n = 21 + 5 + 21n Combine like terms: 21 + 5 = 26 4 + 6n = 26 + 21n Solving 4 + 6n = 26 + 21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-21n' to each side of the equation. 4 + 6n + -21n = 26 + 21n + -21n Combine like terms: 6n + -21n = -15n 4 + -15n = 26 + 21n + -21n Combine like terms: 21n + -21n = 0 4 + -15n = 26 + 0 4 + -15n = 26 Add '-4' to each side of the equation. 4 + -4 + -15n = 26 + -4 Combine like terms: 4 + -4 = 0 0 + -15n = 26 + -4 -15n = 26 + -4 Combine like terms: 26 + -4 = 22 -15n = 22 Divide each side by '-15'. n = -1.466666667 Simplifying n = -1.466666667
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