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Simplifying 69 = -1n + 4(8n + -6) Reorder the terms: 69 = -1n + 4(-6 + 8n) 69 = -1n + (-6 * 4 + 8n * 4) 69 = -1n + (-24 + 32n) Reorder the terms: 69 = -24 + -1n + 32n Combine like terms: -1n + 32n = 31n 69 = -24 + 31n Solving 69 = -24 + 31n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-31n' to each side of the equation. 69 + -31n = -24 + 31n + -31n Combine like terms: 31n + -31n = 0 69 + -31n = -24 + 0 69 + -31n = -24 Add '-69' to each side of the equation. 69 + -69 + -31n = -24 + -69 Combine like terms: 69 + -69 = 0 0 + -31n = -24 + -69 -31n = -24 + -69 Combine like terms: -24 + -69 = -93 -31n = -93 Divide each side by '-31'. n = 3 Simplifying n = 3
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