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Simplifying -2n + 4(7n + -7) = 38 + 4n Reorder the terms: -2n + 4(-7 + 7n) = 38 + 4n -2n + (-7 * 4 + 7n * 4) = 38 + 4n -2n + (-28 + 28n) = 38 + 4n Reorder the terms: -28 + -2n + 28n = 38 + 4n Combine like terms: -2n + 28n = 26n -28 + 26n = 38 + 4n Solving -28 + 26n = 38 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -28 + 26n + -4n = 38 + 4n + -4n Combine like terms: 26n + -4n = 22n -28 + 22n = 38 + 4n + -4n Combine like terms: 4n + -4n = 0 -28 + 22n = 38 + 0 -28 + 22n = 38 Add '28' to each side of the equation. -28 + 28 + 22n = 38 + 28 Combine like terms: -28 + 28 = 0 0 + 22n = 38 + 28 22n = 38 + 28 Combine like terms: 38 + 28 = 66 22n = 66 Divide each side by '22'. n = 3 Simplifying n = 3
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