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Simplifying 30 + n = 5(-8n + 6) Reorder the terms: 30 + n = 5(6 + -8n) 30 + n = (6 * 5 + -8n * 5) 30 + n = (30 + -40n) Add '-30' to each side of the equation. 30 + -30 + n = 30 + -30 + -40n Combine like terms: 30 + -30 = 0 0 + n = 30 + -30 + -40n n = 30 + -30 + -40n Combine like terms: 30 + -30 = 0 n = 0 + -40n n = -40n Solving n = -40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '40n' to each side of the equation. n + 40n = -40n + 40n Combine like terms: n + 40n = 41n 41n = -40n + 40n Combine like terms: -40n + 40n = 0 41n = 0 Divide each side by '41'. n = 0 Simplifying n = 0
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