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Simplifying -1n + 35 = -7(5n + -5) + -8n Reorder the terms: 35 + -1n = -7(5n + -5) + -8n Reorder the terms: 35 + -1n = -7(-5 + 5n) + -8n 35 + -1n = (-5 * -7 + 5n * -7) + -8n 35 + -1n = (35 + -35n) + -8n Combine like terms: -35n + -8n = -43n 35 + -1n = 35 + -43n Add '-35' to each side of the equation. 35 + -35 + -1n = 35 + -35 + -43n Combine like terms: 35 + -35 = 0 0 + -1n = 35 + -35 + -43n -1n = 35 + -35 + -43n Combine like terms: 35 + -35 = 0 -1n = 0 + -43n -1n = -43n Solving -1n = -43n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '43n' to each side of the equation. -1n + 43n = -43n + 43n Combine like terms: -1n + 43n = 42n 42n = -43n + 43n Combine like terms: -43n + 43n = 0 42n = 0 Divide each side by '42'. n = 0 Simplifying n = 0
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