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Simplifying 4(3n + -4) = (4n + 5) + 2 Reorder the terms: 4(-4 + 3n) = (4n + 5) + 2 (-4 * 4 + 3n * 4) = (4n + 5) + 2 (-16 + 12n) = (4n + 5) + 2 Reorder the terms: -16 + 12n = (5 + 4n) + 2 Remove parenthesis around (5 + 4n) -16 + 12n = 5 + 4n + 2 Reorder the terms: -16 + 12n = 5 + 2 + 4n Combine like terms: 5 + 2 = 7 -16 + 12n = 7 + 4n Solving -16 + 12n = 7 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -16 + 12n + -4n = 7 + 4n + -4n Combine like terms: 12n + -4n = 8n -16 + 8n = 7 + 4n + -4n Combine like terms: 4n + -4n = 0 -16 + 8n = 7 + 0 -16 + 8n = 7 Add '16' to each side of the equation. -16 + 16 + 8n = 7 + 16 Combine like terms: -16 + 16 = 0 0 + 8n = 7 + 16 8n = 7 + 16 Combine like terms: 7 + 16 = 23 8n = 23 Divide each side by '8'. n = 2.875 Simplifying n = 2.875
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