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Simplifying -58 + 8n = 3(2 + -8n) -58 + 8n = (2 * 3 + -8n * 3) -58 + 8n = (6 + -24n) Solving -58 + 8n = 6 + -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. -58 + 8n + 24n = 6 + -24n + 24n Combine like terms: 8n + 24n = 32n -58 + 32n = 6 + -24n + 24n Combine like terms: -24n + 24n = 0 -58 + 32n = 6 + 0 -58 + 32n = 6 Add '58' to each side of the equation. -58 + 58 + 32n = 6 + 58 Combine like terms: -58 + 58 = 0 0 + 32n = 6 + 58 32n = 6 + 58 Combine like terms: 6 + 58 = 64 32n = 64 Divide each side by '32'. n = 2 Simplifying n = 2
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