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Simplifying -60 = 6(n + -3) + 6(4n + -2) Reorder the terms: -60 = 6(-3 + n) + 6(4n + -2) -60 = (-3 * 6 + n * 6) + 6(4n + -2) -60 = (-18 + 6n) + 6(4n + -2) Reorder the terms: -60 = -18 + 6n + 6(-2 + 4n) -60 = -18 + 6n + (-2 * 6 + 4n * 6) -60 = -18 + 6n + (-12 + 24n) Reorder the terms: -60 = -18 + -12 + 6n + 24n Combine like terms: -18 + -12 = -30 -60 = -30 + 6n + 24n Combine like terms: 6n + 24n = 30n -60 = -30 + 30n Solving -60 = -30 + 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. -60 + -30n = -30 + 30n + -30n Combine like terms: 30n + -30n = 0 -60 + -30n = -30 + 0 -60 + -30n = -30 Add '60' to each side of the equation. -60 + 60 + -30n = -30 + 60 Combine like terms: -60 + 60 = 0 0 + -30n = -30 + 60 -30n = -30 + 60 Combine like terms: -30 + 60 = 30 -30n = 30 Divide each side by '-30'. n = -1 Simplifying n = -1
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