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Simplifying 4(3n + -1) = (8n + 8) + 7 Reorder the terms: 4(-1 + 3n) = (8n + 8) + 7 (-1 * 4 + 3n * 4) = (8n + 8) + 7 (-4 + 12n) = (8n + 8) + 7 Reorder the terms: -4 + 12n = (8 + 8n) + 7 Remove parenthesis around (8 + 8n) -4 + 12n = 8 + 8n + 7 Reorder the terms: -4 + 12n = 8 + 7 + 8n Combine like terms: 8 + 7 = 15 -4 + 12n = 15 + 8n Solving -4 + 12n = 15 + 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. -4 + 12n + -8n = 15 + 8n + -8n Combine like terms: 12n + -8n = 4n -4 + 4n = 15 + 8n + -8n Combine like terms: 8n + -8n = 0 -4 + 4n = 15 + 0 -4 + 4n = 15 Add '4' to each side of the equation. -4 + 4 + 4n = 15 + 4 Combine like terms: -4 + 4 = 0 0 + 4n = 15 + 4 4n = 15 + 4 Combine like terms: 15 + 4 = 19 4n = 19 Divide each side by '4'. n = 4.75 Simplifying n = 4.75
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