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Simplifying 32 = -6U + 4(U + 3) Reorder the terms: 32 = -6U + 4(3 + U) 32 = -6U + (3 * 4 + U * 4) 32 = -6U + (12 + 4U) Reorder the terms: 32 = 12 + -6U + 4U Combine like terms: -6U + 4U = -2U 32 = 12 + -2U Solving 32 = 12 + -2U Solving for variable 'U'. Move all terms containing U to the left, all other terms to the right. Add '2U' to each side of the equation. 32 + 2U = 12 + -2U + 2U Combine like terms: -2U + 2U = 0 32 + 2U = 12 + 0 32 + 2U = 12 Add '-32' to each side of the equation. 32 + -32 + 2U = 12 + -32 Combine like terms: 32 + -32 = 0 0 + 2U = 12 + -32 2U = 12 + -32 Combine like terms: 12 + -32 = -20 2U = -20 Divide each side by '2'. U = -10 Simplifying U = -10
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