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Simplifying 6(U + -4) = 8U + -10 Reorder the terms: 6(-4 + U) = 8U + -10 (-4 * 6 + U * 6) = 8U + -10 (-24 + 6U) = 8U + -10 Reorder the terms: -24 + 6U = -10 + 8U Solving -24 + 6U = -10 + 8U Solving for variable 'U'. Move all terms containing U to the left, all other terms to the right. Add '-8U' to each side of the equation. -24 + 6U + -8U = -10 + 8U + -8U Combine like terms: 6U + -8U = -2U -24 + -2U = -10 + 8U + -8U Combine like terms: 8U + -8U = 0 -24 + -2U = -10 + 0 -24 + -2U = -10 Add '24' to each side of the equation. -24 + 24 + -2U = -10 + 24 Combine like terms: -24 + 24 = 0 0 + -2U = -10 + 24 -2U = -10 + 24 Combine like terms: -10 + 24 = 14 -2U = 14 Divide each side by '-2'. U = -7 Simplifying U = -7
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