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Simplifying 2 + 3(5n + 4) = 4(-2n + 4) + -7 Reorder the terms: 2 + 3(4 + 5n) = 4(-2n + 4) + -7 2 + (4 * 3 + 5n * 3) = 4(-2n + 4) + -7 2 + (12 + 15n) = 4(-2n + 4) + -7 Combine like terms: 2 + 12 = 14 14 + 15n = 4(-2n + 4) + -7 Reorder the terms: 14 + 15n = 4(4 + -2n) + -7 14 + 15n = (4 * 4 + -2n * 4) + -7 14 + 15n = (16 + -8n) + -7 Reorder the terms: 14 + 15n = 16 + -7 + -8n Combine like terms: 16 + -7 = 9 14 + 15n = 9 + -8n Solving 14 + 15n = 9 + -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. 14 + 15n + 8n = 9 + -8n + 8n Combine like terms: 15n + 8n = 23n 14 + 23n = 9 + -8n + 8n Combine like terms: -8n + 8n = 0 14 + 23n = 9 + 0 14 + 23n = 9 Add '-14' to each side of the equation. 14 + -14 + 23n = 9 + -14 Combine like terms: 14 + -14 = 0 0 + 23n = 9 + -14 23n = 9 + -14 Combine like terms: 9 + -14 = -5 23n = -5 Divide each side by '23'. n = -0.2173913043 Simplifying n = -0.2173913043
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