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Simplifying -24 + -8n = -8(3n + -7) Reorder the terms: -24 + -8n = -8(-7 + 3n) -24 + -8n = (-7 * -8 + 3n * -8) -24 + -8n = (56 + -24n) Solving -24 + -8n = 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. -24 + -8n + 24n = 56 + -24n + 24n Combine like terms: -8n + 24n = 16n -24 + 16n = 56 + -24n + 24n Combine like terms: -24n + 24n = 0 -24 + 16n = 56 + 0 -24 + 16n = 56 Add '24' to each side of the equation. -24 + 24 + 16n = 56 + 24 Combine like terms: -24 + 24 = 0 0 + 16n = 56 + 24 16n = 56 + 24 Combine like terms: 56 + 24 = 80 16n = 80 Divide each side by '16'. n = 5 Simplifying n = 5
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