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Simplifying 4(2n + -1) = 3(4n + 8) Reorder the terms: 4(-1 + 2n) = 3(4n + 8) (-1 * 4 + 2n * 4) = 3(4n + 8) (-4 + 8n) = 3(4n + 8) Reorder the terms: -4 + 8n = 3(8 + 4n) -4 + 8n = (8 * 3 + 4n * 3) -4 + 8n = (24 + 12n) Solving -4 + 8n = 24 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. -4 + 8n + -12n = 24 + 12n + -12n Combine like terms: 8n + -12n = -4n -4 + -4n = 24 + 12n + -12n Combine like terms: 12n + -12n = 0 -4 + -4n = 24 + 0 -4 + -4n = 24 Add '4' to each side of the equation. -4 + 4 + -4n = 24 + 4 Combine like terms: -4 + 4 = 0 0 + -4n = 24 + 4 -4n = 24 + 4 Combine like terms: 24 + 4 = 28 -4n = 28 Divide each side by '-4'. n = -7 Simplifying n = -7
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