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Simplifying 15(U + 4) = 3(U + 12) Reorder the terms: 15(4 + U) = 3(U + 12) (4 * 15 + U * 15) = 3(U + 12) (60 + 15U) = 3(U + 12) Reorder the terms: 60 + 15U = 3(12 + U) 60 + 15U = (12 * 3 + U * 3) 60 + 15U = (36 + 3U) Solving 60 + 15U = 36 + 3U Solving for variable 'U'. Move all terms containing U to the left, all other terms to the right. Add '-3U' to each side of the equation. 60 + 15U + -3U = 36 + 3U + -3U Combine like terms: 15U + -3U = 12U 60 + 12U = 36 + 3U + -3U Combine like terms: 3U + -3U = 0 60 + 12U = 36 + 0 60 + 12U = 36 Add '-60' to each side of the equation. 60 + -60 + 12U = 36 + -60 Combine like terms: 60 + -60 = 0 0 + 12U = 36 + -60 12U = 36 + -60 Combine like terms: 36 + -60 = -24 12U = -24 Divide each side by '12'. U = -2 Simplifying U = -2
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