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Simplifying -150 = -5(8n + 6) Reorder the terms: -150 = -5(6 + 8n) -150 = (6 * -5 + 8n * -5) -150 = (-30 + -40n) Solving -150 = -30 + -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. -150 + 40n = -30 + -40n + 40n Combine like terms: -40n + 40n = 0 -150 + 40n = -30 + 0 -150 + 40n = -30 Add '150' to each side of the equation. -150 + 150 + 40n = -30 + 150 Combine like terms: -150 + 150 = 0 0 + 40n = -30 + 150 40n = -30 + 150 Combine like terms: -30 + 150 = 120 40n = 120 Divide each side by '40'. n = 3 Simplifying n = 3
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