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Simplifying -5(U + -8) = 5U + -30 Reorder the terms: -5(-8 + U) = 5U + -30 (-8 * -5 + U * -5) = 5U + -30 (40 + -5U) = 5U + -30 Reorder the terms: 40 + -5U = -30 + 5U Solving 40 + -5U = -30 + 5U Solving for variable 'U'. Move all terms containing U to the left, all other terms to the right. Add '-5U' to each side of the equation. 40 + -5U + -5U = -30 + 5U + -5U Combine like terms: -5U + -5U = -10U 40 + -10U = -30 + 5U + -5U Combine like terms: 5U + -5U = 0 40 + -10U = -30 + 0 40 + -10U = -30 Add '-40' to each side of the equation. 40 + -40 + -10U = -30 + -40 Combine like terms: 40 + -40 = 0 0 + -10U = -30 + -40 -10U = -30 + -40 Combine like terms: -30 + -40 = -70 -10U = -70 Divide each side by '-10'. U = 7 Simplifying U = 7
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