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Simplifying 8n + -43 = -1n + 101 Reorder the terms: -43 + 8n = -1n + 101 Reorder the terms: -43 + 8n = 101 + -1n Solving -43 + 8n = 101 + -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. -43 + 8n + n = 101 + -1n + n Combine like terms: 8n + n = 9n -43 + 9n = 101 + -1n + n Combine like terms: -1n + n = 0 -43 + 9n = 101 + 0 -43 + 9n = 101 Add '43' to each side of the equation. -43 + 43 + 9n = 101 + 43 Combine like terms: -43 + 43 = 0 0 + 9n = 101 + 43 9n = 101 + 43 Combine like terms: 101 + 43 = 144 9n = 144 Divide each side by '9'. n = 16 Simplifying n = 16
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