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Simplifying -52 + 12n = 8(n + -9) Reorder the terms: -52 + 12n = 8(-9 + n) -52 + 12n = (-9 * 8 + n * 8) -52 + 12n = (-72 + 8n) Solving -52 + 12n = -72 + 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. -52 + 12n + -8n = -72 + 8n + -8n Combine like terms: 12n + -8n = 4n -52 + 4n = -72 + 8n + -8n Combine like terms: 8n + -8n = 0 -52 + 4n = -72 + 0 -52 + 4n = -72 Add '52' to each side of the equation. -52 + 52 + 4n = -72 + 52 Combine like terms: -52 + 52 = 0 0 + 4n = -72 + 52 4n = -72 + 52 Combine like terms: -72 + 52 = -20 4n = -20 Divide each side by '4'. n = -5 Simplifying n = -5
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