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Simplifying 3(5n + 4) = -2(4n + -7) Reorder the terms: 3(4 + 5n) = -2(4n + -7) (4 * 3 + 5n * 3) = -2(4n + -7) (12 + 15n) = -2(4n + -7) Reorder the terms: 12 + 15n = -2(-7 + 4n) 12 + 15n = (-7 * -2 + 4n * -2) 12 + 15n = (14 + -8n) Solving 12 + 15n = 14 + -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. 12 + 15n + 8n = 14 + -8n + 8n Combine like terms: 15n + 8n = 23n 12 + 23n = 14 + -8n + 8n Combine like terms: -8n + 8n = 0 12 + 23n = 14 + 0 12 + 23n = 14 Add '-12' to each side of the equation. 12 + -12 + 23n = 14 + -12 Combine like terms: 12 + -12 = 0 0 + 23n = 14 + -12 23n = 14 + -12 Combine like terms: 14 + -12 = 2 23n = 2 Divide each side by '23'. n = 0.08695652174 Simplifying n = 0.08695652174
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