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Simplifying -38 + -6n = -8(3n + 7) Reorder the terms: -38 + -6n = -8(7 + 3n) -38 + -6n = (7 * -8 + 3n * -8) -38 + -6n = (-56 + -24n) Solving -38 + -6n = -56 + -24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24n' to each side of the equation. -38 + -6n + 24n = -56 + -24n + 24n Combine like terms: -6n + 24n = 18n -38 + 18n = -56 + -24n + 24n Combine like terms: -24n + 24n = 0 -38 + 18n = -56 + 0 -38 + 18n = -56 Add '38' to each side of the equation. -38 + 38 + 18n = -56 + 38 Combine like terms: -38 + 38 = 0 0 + 18n = -56 + 38 18n = -56 + 38 Combine like terms: -56 + 38 = -18 18n = -18 Divide each side by '18'. n = -1 Simplifying n = -1
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