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Simplifying -222 = -8n + -6(5n + -1) Reorder the terms: -222 = -8n + -6(-1 + 5n) -222 = -8n + (-1 * -6 + 5n * -6) -222 = -8n + (6 + -30n) Reorder the terms: -222 = 6 + -8n + -30n Combine like terms: -8n + -30n = -38n -222 = 6 + -38n Solving -222 = 6 + -38n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '38n' to each side of the equation. -222 + 38n = 6 + -38n + 38n Combine like terms: -38n + 38n = 0 -222 + 38n = 6 + 0 -222 + 38n = 6 Add '222' to each side of the equation. -222 + 222 + 38n = 6 + 222 Combine like terms: -222 + 222 = 0 0 + 38n = 6 + 222 38n = 6 + 222 Combine like terms: 6 + 222 = 228 38n = 228 Divide each side by '38'. n = 6 Simplifying n = 6
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