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Simplifying 2(U + 7) = -2U + 46 Reorder the terms: 2(7 + U) = -2U + 46 (7 * 2 + U * 2) = -2U + 46 (14 + 2U) = -2U + 46 Reorder the terms: 14 + 2U = 46 + -2U Solving 14 + 2U = 46 + -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. 14 + 2U + 2U = 46 + -2U + 2U Combine like terms: 2U + 2U = 4U 14 + 4U = 46 + -2U + 2U Combine like terms: -2U + 2U = 0 14 + 4U = 46 + 0 14 + 4U = 46 Add '-14' to each side of the equation. 14 + -14 + 4U = 46 + -14 Combine like terms: 14 + -14 = 0 0 + 4U = 46 + -14 4U = 46 + -14 Combine like terms: 46 + -14 = 32 4U = 32 Divide each side by '4'. U = 8 Simplifying U = 8
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