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Simplifying -345 = -5(8n + 5) Reorder the terms: -345 = -5(5 + 8n) -345 = (5 * -5 + 8n * -5) -345 = (-25 + -40n) Solving -345 = -25 + -40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '40n' to each side of the equation. -345 + 40n = -25 + -40n + 40n Combine like terms: -40n + 40n = 0 -345 + 40n = -25 + 0 -345 + 40n = -25 Add '345' to each side of the equation. -345 + 345 + 40n = -25 + 345 Combine like terms: -345 + 345 = 0 0 + 40n = -25 + 345 40n = -25 + 345 Combine like terms: -25 + 345 = 320 40n = 320 Divide each side by '40'. n = 8 Simplifying n = 8
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