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Simplifying -175 = 2 + 3(5 + -8n) -175 = 2 + (5 * 3 + -8n * 3) -175 = 2 + (15 + -24n) Combine like terms: 2 + 15 = 17 -175 = 17 + -24n Solving -175 = 17 + -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. -175 + 24n = 17 + -24n + 24n Combine like terms: -24n + 24n = 0 -175 + 24n = 17 + 0 -175 + 24n = 17 Add '175' to each side of the equation. -175 + 175 + 24n = 17 + 175 Combine like terms: -175 + 175 = 0 0 + 24n = 17 + 175 24n = 17 + 175 Combine like terms: 17 + 175 = 192 24n = 192 Divide each side by '24'. n = 8 Simplifying n = 8
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