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Simplifying 3(-10n + -10) = 2(-4n + 18) Reorder the terms: 3(-10 + -10n) = 2(-4n + 18) (-10 * 3 + -10n * 3) = 2(-4n + 18) (-30 + -30n) = 2(-4n + 18) Reorder the terms: -30 + -30n = 2(18 + -4n) -30 + -30n = (18 * 2 + -4n * 2) -30 + -30n = (36 + -8n) Solving -30 + -30n = 36 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. -30 + -30n + 8n = 36 + -8n + 8n Combine like terms: -30n + 8n = -22n -30 + -22n = 36 + -8n + 8n Combine like terms: -8n + 8n = 0 -30 + -22n = 36 + 0 -30 + -22n = 36 Add '30' to each side of the equation. -30 + 30 + -22n = 36 + 30 Combine like terms: -30 + 30 = 0 0 + -22n = 36 + 30 -22n = 36 + 30 Combine like terms: 36 + 30 = 66 -22n = 66 Divide each side by '-22'. n = -3 Simplifying n = -3
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