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Simplifying -230 = 5(8n + 2) Reorder the terms: -230 = 5(2 + 8n) -230 = (2 * 5 + 8n * 5) -230 = (10 + 40n) Solving -230 = 10 + 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. -230 + -40n = 10 + 40n + -40n Combine like terms: 40n + -40n = 0 -230 + -40n = 10 + 0 -230 + -40n = 10 Add '230' to each side of the equation. -230 + 230 + -40n = 10 + 230 Combine like terms: -230 + 230 = 0 0 + -40n = 10 + 230 -40n = 10 + 230 Combine like terms: 10 + 230 = 240 -40n = 240 Divide each side by '-40'. n = -6 Simplifying n = -6
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