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Simplifying -24 + -8n = -7(3n + -4) Reorder the terms: -24 + -8n = -7(-4 + 3n) -24 + -8n = (-4 * -7 + 3n * -7) -24 + -8n = (28 + -21n) Solving -24 + -8n = 28 + -21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '21n' to each side of the equation. -24 + -8n + 21n = 28 + -21n + 21n Combine like terms: -8n + 21n = 13n -24 + 13n = 28 + -21n + 21n Combine like terms: -21n + 21n = 0 -24 + 13n = 28 + 0 -24 + 13n = 28 Add '24' to each side of the equation. -24 + 24 + 13n = 28 + 24 Combine like terms: -24 + 24 = 0 0 + 13n = 28 + 24 13n = 28 + 24 Combine like terms: 28 + 24 = 52 13n = 52 Divide each side by '13'. n = 4 Simplifying n = 4
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