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Simplifying 50 + 5(1 + -1U) = U + 8 50 + (1 * 5 + -1U * 5) = U + 8 50 + (5 + -5U) = U + 8 Combine like terms: 50 + 5 = 55 55 + -5U = U + 8 Reorder the terms: 55 + -5U = 8 + U Solving 55 + -5U = 8 + U Solving for variable 'U'. Move all terms containing U to the left, all other terms to the right. Add '-1U' to each side of the equation. 55 + -5U + -1U = 8 + U + -1U Combine like terms: -5U + -1U = -6U 55 + -6U = 8 + U + -1U Combine like terms: U + -1U = 0 55 + -6U = 8 + 0 55 + -6U = 8 Add '-55' to each side of the equation. 55 + -55 + -6U = 8 + -55 Combine like terms: 55 + -55 = 0 0 + -6U = 8 + -55 -6U = 8 + -55 Combine like terms: 8 + -55 = -47 -6U = -47 Divide each side by '-6'. U = 7.833333333 Simplifying U = 7.833333333
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