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Simplifying 1 + -4(8n + -2) = 33 + -8n Reorder the terms: 1 + -4(-2 + 8n) = 33 + -8n 1 + (-2 * -4 + 8n * -4) = 33 + -8n 1 + (8 + -32n) = 33 + -8n Combine like terms: 1 + 8 = 9 9 + -32n = 33 + -8n Solving 9 + -32n = 33 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. 9 + -32n + 8n = 33 + -8n + 8n Combine like terms: -32n + 8n = -24n 9 + -24n = 33 + -8n + 8n Combine like terms: -8n + 8n = 0 9 + -24n = 33 + 0 9 + -24n = 33 Add '-9' to each side of the equation. 9 + -9 + -24n = 33 + -9 Combine like terms: 9 + -9 = 0 0 + -24n = 33 + -9 -24n = 33 + -9 Combine like terms: 33 + -9 = 24 -24n = 24 Divide each side by '-24'. n = -1 Simplifying n = -1
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