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Simplifying -24 + 6n = 7(2n + 5) Reorder the terms: -24 + 6n = 7(5 + 2n) -24 + 6n = (5 * 7 + 2n * 7) -24 + 6n = (35 + 14n) Solving -24 + 6n = 35 + 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. -24 + 6n + -14n = 35 + 14n + -14n Combine like terms: 6n + -14n = -8n -24 + -8n = 35 + 14n + -14n Combine like terms: 14n + -14n = 0 -24 + -8n = 35 + 0 -24 + -8n = 35 Add '24' to each side of the equation. -24 + 24 + -8n = 35 + 24 Combine like terms: -24 + 24 = 0 0 + -8n = 35 + 24 -8n = 35 + 24 Combine like terms: 35 + 24 = 59 -8n = 59 Divide each side by '-8'. n = -7.375 Simplifying n = -7.375
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