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Simplifying 38 + -4n = -3(6n + 3) + -6 Reorder the terms: 38 + -4n = -3(3 + 6n) + -6 38 + -4n = (3 * -3 + 6n * -3) + -6 38 + -4n = (-9 + -18n) + -6 Reorder the terms: 38 + -4n = -9 + -6 + -18n Combine like terms: -9 + -6 = -15 38 + -4n = -15 + -18n Solving 38 + -4n = -15 + -18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '18n' to each side of the equation. 38 + -4n + 18n = -15 + -18n + 18n Combine like terms: -4n + 18n = 14n 38 + 14n = -15 + -18n + 18n Combine like terms: -18n + 18n = 0 38 + 14n = -15 + 0 38 + 14n = -15 Add '-38' to each side of the equation. 38 + -38 + 14n = -15 + -38 Combine like terms: 38 + -38 = 0 0 + 14n = -15 + -38 14n = -15 + -38 Combine like terms: -15 + -38 = -53 14n = -53 Divide each side by '14'. n = -3.785714286 Simplifying n = -3.785714286
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