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Simplifying -3(8n + -3) = -14 + -1n Reorder the terms: -3(-3 + 8n) = -14 + -1n (-3 * -3 + 8n * -3) = -14 + -1n (9 + -24n) = -14 + -1n Solving 9 + -24n = -14 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 9 + -24n + n = -14 + -1n + n Combine like terms: -24n + n = -23n 9 + -23n = -14 + -1n + n Combine like terms: -1n + n = 0 9 + -23n = -14 + 0 9 + -23n = -14 Add '-9' to each side of the equation. 9 + -9 + -23n = -14 + -9 Combine like terms: 9 + -9 = 0 0 + -23n = -14 + -9 -23n = -14 + -9 Combine like terms: -14 + -9 = -23 -23n = -23 Divide each side by '-23'. n = 1 Simplifying n = 1
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