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Simplifying -5(6n + -4) + 8(4n + -3) = -16 Reorder the terms: -5(-4 + 6n) + 8(4n + -3) = -16 (-4 * -5 + 6n * -5) + 8(4n + -3) = -16 (20 + -30n) + 8(4n + -3) = -16 Reorder the terms: 20 + -30n + 8(-3 + 4n) = -16 20 + -30n + (-3 * 8 + 4n * 8) = -16 20 + -30n + (-24 + 32n) = -16 Reorder the terms: 20 + -24 + -30n + 32n = -16 Combine like terms: 20 + -24 = -4 -4 + -30n + 32n = -16 Combine like terms: -30n + 32n = 2n -4 + 2n = -16 Solving -4 + 2n = -16 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 2n = -16 + 4 Combine like terms: -4 + 4 = 0 0 + 2n = -16 + 4 2n = -16 + 4 Combine like terms: -16 + 4 = -12 2n = -12 Divide each side by '2'. n = -6 Simplifying n = -6
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