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Simplifying 6(2n + 3) = 4(5n + -1) Reorder the terms: 6(3 + 2n) = 4(5n + -1) (3 * 6 + 2n * 6) = 4(5n + -1) (18 + 12n) = 4(5n + -1) Reorder the terms: 18 + 12n = 4(-1 + 5n) 18 + 12n = (-1 * 4 + 5n * 4) 18 + 12n = (-4 + 20n) Solving 18 + 12n = -4 + 20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20n' to each side of the equation. 18 + 12n + -20n = -4 + 20n + -20n Combine like terms: 12n + -20n = -8n 18 + -8n = -4 + 20n + -20n Combine like terms: 20n + -20n = 0 18 + -8n = -4 + 0 18 + -8n = -4 Add '-18' to each side of the equation. 18 + -18 + -8n = -4 + -18 Combine like terms: 18 + -18 = 0 0 + -8n = -4 + -18 -8n = -4 + -18 Combine like terms: -4 + -18 = -22 -8n = -22 Divide each side by '-8'. n = 2.75 Simplifying n = 2.75
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