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Simplifying 4(3n + 2) = 4 * 7 + -3n Reorder the terms: 4(2 + 3n) = 4 * 7 + -3n (2 * 4 + 3n * 4) = 4 * 7 + -3n (8 + 12n) = 4 * 7 + -3n Multiply 4 * 7 8 + 12n = 28 + -3n Solving 8 + 12n = 28 + -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. 8 + 12n + 3n = 28 + -3n + 3n Combine like terms: 12n + 3n = 15n 8 + 15n = 28 + -3n + 3n Combine like terms: -3n + 3n = 0 8 + 15n = 28 + 0 8 + 15n = 28 Add '-8' to each side of the equation. 8 + -8 + 15n = 28 + -8 Combine like terms: 8 + -8 = 0 0 + 15n = 28 + -8 15n = 28 + -8 Combine like terms: 28 + -8 = 20 15n = 20 Divide each side by '15'. n = 1.333333333 Simplifying n = 1.333333333
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