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Simplifying 7(2n + -4) = (7n + 2) + 4 Reorder the terms: 7(-4 + 2n) = (7n + 2) + 4 (-4 * 7 + 2n * 7) = (7n + 2) + 4 (-28 + 14n) = (7n + 2) + 4 Reorder the terms: -28 + 14n = (2 + 7n) + 4 Remove parenthesis around (2 + 7n) -28 + 14n = 2 + 7n + 4 Reorder the terms: -28 + 14n = 2 + 4 + 7n Combine like terms: 2 + 4 = 6 -28 + 14n = 6 + 7n Solving -28 + 14n = 6 + 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 + 14n + -7n = 6 + 7n + -7n Combine like terms: 14n + -7n = 7n -28 + 7n = 6 + 7n + -7n Combine like terms: 7n + -7n = 0 -28 + 7n = 6 + 0 -28 + 7n = 6 Add '28' to each side of the equation. -28 + 28 + 7n = 6 + 28 Combine like terms: -28 + 28 = 0 0 + 7n = 6 + 28 7n = 6 + 28 Combine like terms: 6 + 28 = 34 7n = 34 Divide each side by '7'. n = 4.857142857 Simplifying n = 4.857142857
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