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Simplifying 4(3n + -3) = (4n + 7) + 2 Reorder the terms: 4(-3 + 3n) = (4n + 7) + 2 (-3 * 4 + 3n * 4) = (4n + 7) + 2 (-12 + 12n) = (4n + 7) + 2 Reorder the terms: -12 + 12n = (7 + 4n) + 2 Remove parenthesis around (7 + 4n) -12 + 12n = 7 + 4n + 2 Reorder the terms: -12 + 12n = 7 + 2 + 4n Combine like terms: 7 + 2 = 9 -12 + 12n = 9 + 4n Solving -12 + 12n = 9 + 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. -12 + 12n + -4n = 9 + 4n + -4n Combine like terms: 12n + -4n = 8n -12 + 8n = 9 + 4n + -4n Combine like terms: 4n + -4n = 0 -12 + 8n = 9 + 0 -12 + 8n = 9 Add '12' to each side of the equation. -12 + 12 + 8n = 9 + 12 Combine like terms: -12 + 12 = 0 0 + 8n = 9 + 12 8n = 9 + 12 Combine like terms: 9 + 12 = 21 8n = 21 Divide each side by '8'. n = 2.625 Simplifying n = 2.625
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