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Simplifying 5(-6n + 12) + -35(4n + -22) = -20 Reorder the terms: 5(12 + -6n) + -35(4n + -22) = -20 (12 * 5 + -6n * 5) + -35(4n + -22) = -20 (60 + -30n) + -35(4n + -22) = -20 Reorder the terms: 60 + -30n + -35(-22 + 4n) = -20 60 + -30n + (-22 * -35 + 4n * -35) = -20 60 + -30n + (770 + -140n) = -20 Reorder the terms: 60 + 770 + -30n + -140n = -20 Combine like terms: 60 + 770 = 830 830 + -30n + -140n = -20 Combine like terms: -30n + -140n = -170n 830 + -170n = -20 Solving 830 + -170n = -20 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-830' to each side of the equation. 830 + -830 + -170n = -20 + -830 Combine like terms: 830 + -830 = 0 0 + -170n = -20 + -830 -170n = -20 + -830 Combine like terms: -20 + -830 = -850 -170n = -850 Divide each side by '-170'. n = 5 Simplifying n = 5
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