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Simplifying 5n + 2(n + -3) = -4n + 38 Reorder the terms: 5n + 2(-3 + n) = -4n + 38 5n + (-3 * 2 + n * 2) = -4n + 38 5n + (-6 + 2n) = -4n + 38 Reorder the terms: -6 + 5n + 2n = -4n + 38 Combine like terms: 5n + 2n = 7n -6 + 7n = -4n + 38 Reorder the terms: -6 + 7n = 38 + -4n Solving -6 + 7n = 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. -6 + 7n + 4n = 38 + -4n + 4n Combine like terms: 7n + 4n = 11n -6 + 11n = 38 + -4n + 4n Combine like terms: -4n + 4n = 0 -6 + 11n = 38 + 0 -6 + 11n = 38 Add '6' to each side of the equation. -6 + 6 + 11n = 38 + 6 Combine like terms: -6 + 6 = 0 0 + 11n = 38 + 6 11n = 38 + 6 Combine like terms: 38 + 6 = 44 11n = 44 Divide each side by '11'. n = 4 Simplifying n = 4
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