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Simplifying -10(3n + -2) = -7(n + -5) + -8n Reorder the terms: -10(-2 + 3n) = -7(n + -5) + -8n (-2 * -10 + 3n * -10) = -7(n + -5) + -8n (20 + -30n) = -7(n + -5) + -8n Reorder the terms: 20 + -30n = -7(-5 + n) + -8n 20 + -30n = (-5 * -7 + n * -7) + -8n 20 + -30n = (35 + -7n) + -8n Combine like terms: -7n + -8n = -15n 20 + -30n = 35 + -15n Solving 20 + -30n = 35 + -15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '15n' to each side of the equation. 20 + -30n + 15n = 35 + -15n + 15n Combine like terms: -30n + 15n = -15n 20 + -15n = 35 + -15n + 15n Combine like terms: -15n + 15n = 0 20 + -15n = 35 + 0 20 + -15n = 35 Add '-20' to each side of the equation. 20 + -20 + -15n = 35 + -20 Combine like terms: 20 + -20 = 0 0 + -15n = 35 + -20 -15n = 35 + -20 Combine like terms: 35 + -20 = 15 -15n = 15 Divide each side by '-15'. n = -1 Simplifying n = -1
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