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Simplifying -8(4u + 10) = -6(5u + 15) + 12 Reorder the terms: -8(10 + 4u) = -6(5u + 15) + 12 (10 * -8 + 4u * -8) = -6(5u + 15) + 12 (-80 + -32u) = -6(5u + 15) + 12 Reorder the terms: -80 + -32u = -6(15 + 5u) + 12 -80 + -32u = (15 * -6 + 5u * -6) + 12 -80 + -32u = (-90 + -30u) + 12 Reorder the terms: -80 + -32u = -90 + 12 + -30u Combine like terms: -90 + 12 = -78 -80 + -32u = -78 + -30u Solving -80 + -32u = -78 + -30u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '30u' to each side of the equation. -80 + -32u + 30u = -78 + -30u + 30u Combine like terms: -32u + 30u = -2u -80 + -2u = -78 + -30u + 30u Combine like terms: -30u + 30u = 0 -80 + -2u = -78 + 0 -80 + -2u = -78 Add '80' to each side of the equation. -80 + 80 + -2u = -78 + 80 Combine like terms: -80 + 80 = 0 0 + -2u = -78 + 80 -2u = -78 + 80 Combine like terms: -78 + 80 = 2 -2u = 2 Divide each side by '-2'. u = -1 Simplifying u = -1
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