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Simplifying -200 = 7 + -3(5 + -8n) -200 = 7 + (5 * -3 + -8n * -3) -200 = 7 + (-15 + 24n) Combine like terms: 7 + -15 = -8 -200 = -8 + 24n Solving -200 = -8 + 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. -200 + -24n = -8 + 24n + -24n Combine like terms: 24n + -24n = 0 -200 + -24n = -8 + 0 -200 + -24n = -8 Add '200' to each side of the equation. -200 + 200 + -24n = -8 + 200 Combine like terms: -200 + 200 = 0 0 + -24n = -8 + 200 -24n = -8 + 200 Combine like terms: -8 + 200 = 192 -24n = 192 Divide each side by '-24'. n = -8 Simplifying n = -8
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