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Simplifying 7n + 4(3n + -7) = 20 + 7n Reorder the terms: 7n + 4(-7 + 3n) = 20 + 7n 7n + (-7 * 4 + 3n * 4) = 20 + 7n 7n + (-28 + 12n) = 20 + 7n Reorder the terms: -28 + 7n + 12n = 20 + 7n Combine like terms: 7n + 12n = 19n -28 + 19n = 20 + 7n Solving -28 + 19n = 20 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -28 + 19n + -7n = 20 + 7n + -7n Combine like terms: 19n + -7n = 12n -28 + 12n = 20 + 7n + -7n Combine like terms: 7n + -7n = 0 -28 + 12n = 20 + 0 -28 + 12n = 20 Add '28' to each side of the equation. -28 + 28 + 12n = 20 + 28 Combine like terms: -28 + 28 = 0 0 + 12n = 20 + 28 12n = 20 + 28 Combine like terms: 20 + 28 = 48 12n = 48 Divide each side by '12'. n = 4 Simplifying n = 4
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