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Simplifying 57 = 4(3n + 3) + 3n Reorder the terms: 57 = 4(3 + 3n) + 3n 57 = (3 * 4 + 3n * 4) + 3n 57 = (12 + 12n) + 3n Combine like terms: 12n + 3n = 15n 57 = 12 + 15n Solving 57 = 12 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. 57 + -15n = 12 + 15n + -15n Combine like terms: 15n + -15n = 0 57 + -15n = 12 + 0 57 + -15n = 12 Add '-57' to each side of the equation. 57 + -57 + -15n = 12 + -57 Combine like terms: 57 + -57 = 0 0 + -15n = 12 + -57 -15n = 12 + -57 Combine like terms: 12 + -57 = -45 -15n = -45 Divide each side by '-15'. n = 3 Simplifying n = 3
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