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Simplifying -1n + -22(1 + -2n) = 18 + 8n -1n + (1 * -22 + -2n * -22) = 18 + 8n -1n + (-22 + 44n) = 18 + 8n Reorder the terms: -22 + -1n + 44n = 18 + 8n Combine like terms: -1n + 44n = 43n -22 + 43n = 18 + 8n Solving -22 + 43n = 18 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -22 + 43n + -8n = 18 + 8n + -8n Combine like terms: 43n + -8n = 35n -22 + 35n = 18 + 8n + -8n Combine like terms: 8n + -8n = 0 -22 + 35n = 18 + 0 -22 + 35n = 18 Add '22' to each side of the equation. -22 + 22 + 35n = 18 + 22 Combine like terms: -22 + 22 = 0 0 + 35n = 18 + 22 35n = 18 + 22 Combine like terms: 18 + 22 = 40 35n = 40 Divide each side by '35'. n = 1.142857143 Simplifying n = 1.142857143
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