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Simplifying 40 + -5n = 50 + -4(2n + -1) Reorder the terms: 40 + -5n = 50 + -4(-1 + 2n) 40 + -5n = 50 + (-1 * -4 + 2n * -4) 40 + -5n = 50 + (4 + -8n) Combine like terms: 50 + 4 = 54 40 + -5n = 54 + -8n Solving 40 + -5n = 54 + -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. 40 + -5n + 8n = 54 + -8n + 8n Combine like terms: -5n + 8n = 3n 40 + 3n = 54 + -8n + 8n Combine like terms: -8n + 8n = 0 40 + 3n = 54 + 0 40 + 3n = 54 Add '-40' to each side of the equation. 40 + -40 + 3n = 54 + -40 Combine like terms: 40 + -40 = 0 0 + 3n = 54 + -40 3n = 54 + -40 Combine like terms: 54 + -40 = 14 3n = 14 Divide each side by '3'. n = 4.666666667 Simplifying n = 4.666666667
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