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Simplifying -6(5n + 8) + 4(8n + 6) = -16 Reorder the terms: -6(8 + 5n) + 4(8n + 6) = -16 (8 * -6 + 5n * -6) + 4(8n + 6) = -16 (-48 + -30n) + 4(8n + 6) = -16 Reorder the terms: -48 + -30n + 4(6 + 8n) = -16 -48 + -30n + (6 * 4 + 8n * 4) = -16 -48 + -30n + (24 + 32n) = -16 Reorder the terms: -48 + 24 + -30n + 32n = -16 Combine like terms: -48 + 24 = -24 -24 + -30n + 32n = -16 Combine like terms: -30n + 32n = 2n -24 + 2n = -16 Solving -24 + 2n = -16 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 2n = -16 + 24 Combine like terms: -24 + 24 = 0 0 + 2n = -16 + 24 2n = -16 + 24 Combine like terms: -16 + 24 = 8 2n = 8 Divide each side by '2'. n = 4 Simplifying n = 4
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