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Simplifying 6n + -1(4n + 22) = 5 + -1(6n + -2) Reorder the terms: 6n + -1(22 + 4n) = 5 + -1(6n + -2) 6n + (22 * -1 + 4n * -1) = 5 + -1(6n + -2) 6n + (-22 + -4n) = 5 + -1(6n + -2) Reorder the terms: -22 + 6n + -4n = 5 + -1(6n + -2) Combine like terms: 6n + -4n = 2n -22 + 2n = 5 + -1(6n + -2) Reorder the terms: -22 + 2n = 5 + -1(-2 + 6n) -22 + 2n = 5 + (-2 * -1 + 6n * -1) -22 + 2n = 5 + (2 + -6n) Combine like terms: 5 + 2 = 7 -22 + 2n = 7 + -6n Solving -22 + 2n = 7 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -22 + 2n + 6n = 7 + -6n + 6n Combine like terms: 2n + 6n = 8n -22 + 8n = 7 + -6n + 6n Combine like terms: -6n + 6n = 0 -22 + 8n = 7 + 0 -22 + 8n = 7 Add '22' to each side of the equation. -22 + 22 + 8n = 7 + 22 Combine like terms: -22 + 22 = 0 0 + 8n = 7 + 22 8n = 7 + 22 Combine like terms: 7 + 22 = 29 8n = 29 Divide each side by '8'. n = 3.625 Simplifying n = 3.625
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