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Simplifying -19.51(-16n + 42) = -39.02(2n + 6) Reorder the terms: -19.51(42 + -16n) = -39.02(2n + 6) (42 * -19.51 + -16n * -19.51) = -39.02(2n + 6) (-819.42 + 312.16n) = -39.02(2n + 6) Reorder the terms: -819.42 + 312.16n = -39.02(6 + 2n) -819.42 + 312.16n = (6 * -39.02 + 2n * -39.02) -819.42 + 312.16n = (-234.12 + -78.04n) Solving -819.42 + 312.16n = -234.12 + -78.04n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '78.04n' to each side of the equation. -819.42 + 312.16n + 78.04n = -234.12 + -78.04n + 78.04n Combine like terms: 312.16n + 78.04n = 390.2n -819.42 + 390.2n = -234.12 + -78.04n + 78.04n Combine like terms: -78.04n + 78.04n = 0.00 -819.42 + 390.2n = -234.12 + 0.00 -819.42 + 390.2n = -234.12 Add '819.42' to each side of the equation. -819.42 + 819.42 + 390.2n = -234.12 + 819.42 Combine like terms: -819.42 + 819.42 = 0.00 0.00 + 390.2n = -234.12 + 819.42 390.2n = -234.12 + 819.42 Combine like terms: -234.12 + 819.42 = 585.3 390.2n = 585.3 Divide each side by '390.2'. n = 1.5 Simplifying n = 1.5
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