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Simplifying 4(2n + -1) = (5n + 6) + 3 Reorder the terms: 4(-1 + 2n) = (5n + 6) + 3 (-1 * 4 + 2n * 4) = (5n + 6) + 3 (-4 + 8n) = (5n + 6) + 3 Reorder the terms: -4 + 8n = (6 + 5n) + 3 Remove parenthesis around (6 + 5n) -4 + 8n = 6 + 5n + 3 Reorder the terms: -4 + 8n = 6 + 3 + 5n Combine like terms: 6 + 3 = 9 -4 + 8n = 9 + 5n Solving -4 + 8n = 9 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -4 + 8n + -5n = 9 + 5n + -5n Combine like terms: 8n + -5n = 3n -4 + 3n = 9 + 5n + -5n Combine like terms: 5n + -5n = 0 -4 + 3n = 9 + 0 -4 + 3n = 9 Add '4' to each side of the equation. -4 + 4 + 3n = 9 + 4 Combine like terms: -4 + 4 = 0 0 + 3n = 9 + 4 3n = 9 + 4 Combine like terms: 9 + 4 = 13 3n = 13 Divide each side by '3'. n = 4.333333333 Simplifying n = 4.333333333
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