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Simplifying -5(3U + -4) + 9 = 6(U + 4) Reorder the terms: -5(-4 + 3U) + 9 = 6(U + 4) (-4 * -5 + 3U * -5) + 9 = 6(U + 4) (20 + -15U) + 9 = 6(U + 4) Reorder the terms: 20 + 9 + -15U = 6(U + 4) Combine like terms: 20 + 9 = 29 29 + -15U = 6(U + 4) Reorder the terms: 29 + -15U = 6(4 + U) 29 + -15U = (4 * 6 + U * 6) 29 + -15U = (24 + 6U) Solving 29 + -15U = 24 + 6U Solving for variable 'U'. Move all terms containing U to the left, all other terms to the right. Add '-6U' to each side of the equation. 29 + -15U + -6U = 24 + 6U + -6U Combine like terms: -15U + -6U = -21U 29 + -21U = 24 + 6U + -6U Combine like terms: 6U + -6U = 0 29 + -21U = 24 + 0 29 + -21U = 24 Add '-29' to each side of the equation. 29 + -29 + -21U = 24 + -29 Combine like terms: 29 + -29 = 0 0 + -21U = 24 + -29 -21U = 24 + -29 Combine like terms: 24 + -29 = -5 -21U = -5 Divide each side by '-21'. U = 0.2380952381 Simplifying U = 0.2380952381
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