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Simplifying 9 + -1(-1n + 4) = 4(-2n + 2) + 1 Reorder the terms: 9 + -1(4 + -1n) = 4(-2n + 2) + 1 9 + (4 * -1 + -1n * -1) = 4(-2n + 2) + 1 9 + (-4 + 1n) = 4(-2n + 2) + 1 Combine like terms: 9 + -4 = 5 5 + 1n = 4(-2n + 2) + 1 Reorder the terms: 5 + 1n = 4(2 + -2n) + 1 5 + 1n = (2 * 4 + -2n * 4) + 1 5 + 1n = (8 + -8n) + 1 Reorder the terms: 5 + 1n = 8 + 1 + -8n Combine like terms: 8 + 1 = 9 5 + 1n = 9 + -8n Solving 5 + 1n = 9 + -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. 5 + 1n + 8n = 9 + -8n + 8n Combine like terms: 1n + 8n = 9n 5 + 9n = 9 + -8n + 8n Combine like terms: -8n + 8n = 0 5 + 9n = 9 + 0 5 + 9n = 9 Add '-5' to each side of the equation. 5 + -5 + 9n = 9 + -5 Combine like terms: 5 + -5 = 0 0 + 9n = 9 + -5 9n = 9 + -5 Combine like terms: 9 + -5 = 4 9n = 4 Divide each side by '9'. n = 0.4444444444 Simplifying n = 0.4444444444
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