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Simplifying 4(2n + -5) = 7(2n + 4) Reorder the terms: 4(-5 + 2n) = 7(2n + 4) (-5 * 4 + 2n * 4) = 7(2n + 4) (-20 + 8n) = 7(2n + 4) Reorder the terms: -20 + 8n = 7(4 + 2n) -20 + 8n = (4 * 7 + 2n * 7) -20 + 8n = (28 + 14n) Solving -20 + 8n = 28 + 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. -20 + 8n + -14n = 28 + 14n + -14n Combine like terms: 8n + -14n = -6n -20 + -6n = 28 + 14n + -14n Combine like terms: 14n + -14n = 0 -20 + -6n = 28 + 0 -20 + -6n = 28 Add '20' to each side of the equation. -20 + 20 + -6n = 28 + 20 Combine like terms: -20 + 20 = 0 0 + -6n = 28 + 20 -6n = 28 + 20 Combine like terms: 28 + 20 = 48 -6n = 48 Divide each side by '-6'. n = -8 Simplifying n = -8
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