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Simplifying 2(5n + -7) = -38 + 4n Reorder the terms: 2(-7 + 5n) = -38 + 4n (-7 * 2 + 5n * 2) = -38 + 4n (-14 + 10n) = -38 + 4n Solving -14 + 10n = -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. -14 + 10n + -4n = -38 + 4n + -4n Combine like terms: 10n + -4n = 6n -14 + 6n = -38 + 4n + -4n Combine like terms: 4n + -4n = 0 -14 + 6n = -38 + 0 -14 + 6n = -38 Add '14' to each side of the equation. -14 + 14 + 6n = -38 + 14 Combine like terms: -14 + 14 = 0 0 + 6n = -38 + 14 6n = -38 + 14 Combine like terms: -38 + 14 = -24 6n = -24 Divide each side by '6'. n = -4 Simplifying n = -4
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