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Simplifying -2(5 + -7n) + -8(1 + -2n) = -48 (5 * -2 + -7n * -2) + -8(1 + -2n) = -48 (-10 + 14n) + -8(1 + -2n) = -48 -10 + 14n + (1 * -8 + -2n * -8) = -48 -10 + 14n + (-8 + 16n) = -48 Reorder the terms: -10 + -8 + 14n + 16n = -48 Combine like terms: -10 + -8 = -18 -18 + 14n + 16n = -48 Combine like terms: 14n + 16n = 30n -18 + 30n = -48 Solving -18 + 30n = -48 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 30n = -48 + 18 Combine like terms: -18 + 18 = 0 0 + 30n = -48 + 18 30n = -48 + 18 Combine like terms: -48 + 18 = -30 30n = -30 Divide each side by '30'. n = -1 Simplifying n = -1
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