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Simplifying 6(n + -7) = -8n + 28 Reorder the terms: 6(-7 + n) = -8n + 28 (-7 * 6 + n * 6) = -8n + 28 (-42 + 6n) = -8n + 28 Reorder the terms: -42 + 6n = 28 + -8n Solving -42 + 6n = 28 + -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. -42 + 6n + 8n = 28 + -8n + 8n Combine like terms: 6n + 8n = 14n -42 + 14n = 28 + -8n + 8n Combine like terms: -8n + 8n = 0 -42 + 14n = 28 + 0 -42 + 14n = 28 Add '42' to each side of the equation. -42 + 42 + 14n = 28 + 42 Combine like terms: -42 + 42 = 0 0 + 14n = 28 + 42 14n = 28 + 42 Combine like terms: 28 + 42 = 70 14n = 70 Divide each side by '14'. n = 5 Simplifying n = 5
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