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Simplifying 8n + -3(3n + -8) = 24 + 7n Reorder the terms: 8n + -3(-8 + 3n) = 24 + 7n 8n + (-8 * -3 + 3n * -3) = 24 + 7n 8n + (24 + -9n) = 24 + 7n Reorder the terms: 24 + 8n + -9n = 24 + 7n Combine like terms: 8n + -9n = -1n 24 + -1n = 24 + 7n Add '-24' to each side of the equation. 24 + -24 + -1n = 24 + -24 + 7n Combine like terms: 24 + -24 = 0 0 + -1n = 24 + -24 + 7n -1n = 24 + -24 + 7n Combine like terms: 24 + -24 = 0 -1n = 0 + 7n -1n = 7n Solving -1n = 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -1n + -7n = 7n + -7n Combine like terms: -1n + -7n = -8n -8n = 7n + -7n Combine like terms: 7n + -7n = 0 -8n = 0 Divide each side by '-8'. n = 0 Simplifying n = 0
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