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Simplifying 50 = 6(n + 8) + -1(8n + -6) Reorder the terms: 50 = 6(8 + n) + -1(8n + -6) 50 = (8 * 6 + n * 6) + -1(8n + -6) 50 = (48 + 6n) + -1(8n + -6) Reorder the terms: 50 = 48 + 6n + -1(-6 + 8n) 50 = 48 + 6n + (-6 * -1 + 8n * -1) 50 = 48 + 6n + (6 + -8n) Reorder the terms: 50 = 48 + 6 + 6n + -8n Combine like terms: 48 + 6 = 54 50 = 54 + 6n + -8n Combine like terms: 6n + -8n = -2n 50 = 54 + -2n Solving 50 = 54 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 50 + 2n = 54 + -2n + 2n Combine like terms: -2n + 2n = 0 50 + 2n = 54 + 0 50 + 2n = 54 Add '-50' to each side of the equation. 50 + -50 + 2n = 54 + -50 Combine like terms: 50 + -50 = 0 0 + 2n = 54 + -50 2n = 54 + -50 Combine like terms: 54 + -50 = 4 2n = 4 Divide each side by '2'. n = 2 Simplifying n = 2
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