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Simplifying 3(19n + -10) = -12n + -3(-13n + 20) Reorder the terms: 3(-10 + 19n) = -12n + -3(-13n + 20) (-10 * 3 + 19n * 3) = -12n + -3(-13n + 20) (-30 + 57n) = -12n + -3(-13n + 20) Reorder the terms: -30 + 57n = -12n + -3(20 + -13n) -30 + 57n = -12n + (20 * -3 + -13n * -3) -30 + 57n = -12n + (-60 + 39n) Reorder the terms: -30 + 57n = -60 + -12n + 39n Combine like terms: -12n + 39n = 27n -30 + 57n = -60 + 27n Solving -30 + 57n = -60 + 27n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-27n' to each side of the equation. -30 + 57n + -27n = -60 + 27n + -27n Combine like terms: 57n + -27n = 30n -30 + 30n = -60 + 27n + -27n Combine like terms: 27n + -27n = 0 -30 + 30n = -60 + 0 -30 + 30n = -60 Add '30' to each side of the equation. -30 + 30 + 30n = -60 + 30 Combine like terms: -30 + 30 = 0 0 + 30n = -60 + 30 30n = -60 + 30 Combine like terms: -60 + 30 = -30 30n = -30 Divide each side by '30'. n = -1 Simplifying n = -1
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