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Simplifying 4(8 + -5U) = -2U (8 * 4 + -5U * 4) = -2U (32 + -20U) = -2U Solving 32 + -20U = -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 + -20U + 2U = -2U + 2U Combine like terms: -20U + 2U = -18U 32 + -18U = -2U + 2U Combine like terms: -2U + 2U = 0 32 + -18U = 0 Add '-32' to each side of the equation. 32 + -32 + -18U = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -18U = 0 + -32 -18U = 0 + -32 Combine like terms: 0 + -32 = -32 -18U = -32 Divide each side by '-18'. U = 1.777777778 Simplifying U = 1.777777778
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