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Simplifying 26 = U + (U + -3) + (2U + 1) Reorder the terms: 26 = U + (-3 + U) + (2U + 1) Remove parenthesis around (-3 + U) 26 = U + -3 + U + (2U + 1) Reorder the terms: 26 = U + -3 + U + (1 + 2U) Remove parenthesis around (1 + 2U) 26 = U + -3 + U + 1 + 2U Reorder the terms: 26 = -3 + 1 + U + U + 2U Combine like terms: -3 + 1 = -2 26 = -2 + U + U + 2U Combine like terms: U + U = 2U 26 = -2 + 2U + 2U Combine like terms: 2U + 2U = 4U 26 = -2 + 4U Solving 26 = -2 + 4U Solving for variable 'U'. Move all terms containing U to the left, all other terms to the right. Add '-4U' to each side of the equation. 26 + -4U = -2 + 4U + -4U Combine like terms: 4U + -4U = 0 26 + -4U = -2 + 0 26 + -4U = -2 Add '-26' to each side of the equation. 26 + -26 + -4U = -2 + -26 Combine like terms: 26 + -26 = 0 0 + -4U = -2 + -26 -4U = -2 + -26 Combine like terms: -2 + -26 = -28 -4U = -28 Divide each side by '-4'. U = 7 Simplifying U = 7
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