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Simplifying -2n + 5(6 + -8n) = 30 + -1n -2n + (6 * 5 + -8n * 5) = 30 + -1n -2n + (30 + -40n) = 30 + -1n Reorder the terms: 30 + -2n + -40n = 30 + -1n Combine like terms: -2n + -40n = -42n 30 + -42n = 30 + -1n Add '-30' to each side of the equation. 30 + -30 + -42n = 30 + -30 + -1n Combine like terms: 30 + -30 = 0 0 + -42n = 30 + -30 + -1n -42n = 30 + -30 + -1n Combine like terms: 30 + -30 = 0 -42n = 0 + -1n -42n = -1n Solving -42n = -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. -42n + n = -1n + n Combine like terms: -42n + n = -41n -41n = -1n + n Combine like terms: -1n + n = 0 -41n = 0 Divide each side by '-41'. n = 0 Simplifying n = 0
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