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Simplifying 12 = 8(U + 6) + 4U Reorder the terms: 12 = 8(6 + U) + 4U 12 = (6 * 8 + U * 8) + 4U 12 = (48 + 8U) + 4U Combine like terms: 8U + 4U = 12U 12 = 48 + 12U Solving 12 = 48 + 12U Solving for variable 'U'. Move all terms containing U to the left, all other terms to the right. Add '-12U' to each side of the equation. 12 + -12U = 48 + 12U + -12U Combine like terms: 12U + -12U = 0 12 + -12U = 48 + 0 12 + -12U = 48 Add '-12' to each side of the equation. 12 + -12 + -12U = 48 + -12 Combine like terms: 12 + -12 = 0 0 + -12U = 48 + -12 -12U = 48 + -12 Combine like terms: 48 + -12 = 36 -12U = 36 Divide each side by '-12'. U = -3 Simplifying U = -3
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