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Simplifying -7(-1n + 20) = 20 + -1n Reorder the terms: -7(20 + -1n) = 20 + -1n (20 * -7 + -1n * -7) = 20 + -1n (-140 + 7n) = 20 + -1n Solving -140 + 7n = 20 + -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. -140 + 7n + n = 20 + -1n + n Combine like terms: 7n + n = 8n -140 + 8n = 20 + -1n + n Combine like terms: -1n + n = 0 -140 + 8n = 20 + 0 -140 + 8n = 20 Add '140' to each side of the equation. -140 + 140 + 8n = 20 + 140 Combine like terms: -140 + 140 = 0 0 + 8n = 20 + 140 8n = 20 + 140 Combine like terms: 20 + 140 = 160 8n = 160 Divide each side by '8'. n = 20 Simplifying n = 20
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