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Simplifying 4(2n + -2) = (5n + 3) + 2 Reorder the terms: 4(-2 + 2n) = (5n + 3) + 2 (-2 * 4 + 2n * 4) = (5n + 3) + 2 (-8 + 8n) = (5n + 3) + 2 Reorder the terms: -8 + 8n = (3 + 5n) + 2 Remove parenthesis around (3 + 5n) -8 + 8n = 3 + 5n + 2 Reorder the terms: -8 + 8n = 3 + 2 + 5n Combine like terms: 3 + 2 = 5 -8 + 8n = 5 + 5n Solving -8 + 8n = 5 + 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. -8 + 8n + -5n = 5 + 5n + -5n Combine like terms: 8n + -5n = 3n -8 + 3n = 5 + 5n + -5n Combine like terms: 5n + -5n = 0 -8 + 3n = 5 + 0 -8 + 3n = 5 Add '8' to each side of the equation. -8 + 8 + 3n = 5 + 8 Combine like terms: -8 + 8 = 0 0 + 3n = 5 + 8 3n = 5 + 8 Combine like terms: 5 + 8 = 13 3n = 13 Divide each side by '3'. n = 4.333333333 Simplifying n = 4.333333333
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