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Simplifying 4(2n + 2) = 6(4n + 3) Reorder the terms: 4(2 + 2n) = 6(4n + 3) (2 * 4 + 2n * 4) = 6(4n + 3) (8 + 8n) = 6(4n + 3) Reorder the terms: 8 + 8n = 6(3 + 4n) 8 + 8n = (3 * 6 + 4n * 6) 8 + 8n = (18 + 24n) Solving 8 + 8n = 18 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. 8 + 8n + -24n = 18 + 24n + -24n Combine like terms: 8n + -24n = -16n 8 + -16n = 18 + 24n + -24n Combine like terms: 24n + -24n = 0 8 + -16n = 18 + 0 8 + -16n = 18 Add '-8' to each side of the equation. 8 + -8 + -16n = 18 + -8 Combine like terms: 8 + -8 = 0 0 + -16n = 18 + -8 -16n = 18 + -8 Combine like terms: 18 + -8 = 10 -16n = 10 Divide each side by '-16'. n = -0.625 Simplifying n = -0.625
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