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Simplifying -16 + 8n = -2 + -6(-5n + -5) Reorder the terms: -16 + 8n = -2 + -6(-5 + -5n) -16 + 8n = -2 + (-5 * -6 + -5n * -6) -16 + 8n = -2 + (30 + 30n) Combine like terms: -2 + 30 = 28 -16 + 8n = 28 + 30n Solving -16 + 8n = 28 + 30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-30n' to each side of the equation. -16 + 8n + -30n = 28 + 30n + -30n Combine like terms: 8n + -30n = -22n -16 + -22n = 28 + 30n + -30n Combine like terms: 30n + -30n = 0 -16 + -22n = 28 + 0 -16 + -22n = 28 Add '16' to each side of the equation. -16 + 16 + -22n = 28 + 16 Combine like terms: -16 + 16 = 0 0 + -22n = 28 + 16 -22n = 28 + 16 Combine like terms: 28 + 16 = 44 -22n = 44 Divide each side by '-22'. n = -2 Simplifying n = -2
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