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Simplifying 4(3n + 2) = 5(8n + -7) Reorder the terms: 4(2 + 3n) = 5(8n + -7) (2 * 4 + 3n * 4) = 5(8n + -7) (8 + 12n) = 5(8n + -7) Reorder the terms: 8 + 12n = 5(-7 + 8n) 8 + 12n = (-7 * 5 + 8n * 5) 8 + 12n = (-35 + 40n) Solving 8 + 12n = -35 + 40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40n' to each side of the equation. 8 + 12n + -40n = -35 + 40n + -40n Combine like terms: 12n + -40n = -28n 8 + -28n = -35 + 40n + -40n Combine like terms: 40n + -40n = 0 8 + -28n = -35 + 0 8 + -28n = -35 Add '-8' to each side of the equation. 8 + -8 + -28n = -35 + -8 Combine like terms: 8 + -8 = 0 0 + -28n = -35 + -8 -28n = -35 + -8 Combine like terms: -35 + -8 = -43 -28n = -43 Divide each side by '-28'. n = 1.535714286 Simplifying n = 1.535714286
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