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Simplifying 8(4U + -1) + -12U = 11(2u + -6) + -1Y Reorder the terms: 8(-1 + 4U) + -12U = 11(2u + -6) + -1Y (-1 * 8 + 4U * 8) + -12U = 11(2u + -6) + -1Y (-8 + 32U) + -12U = 11(2u + -6) + -1Y Combine like terms: 32U + -12U = 20U -8 + 20U = 11(2u + -6) + -1Y Reorder the terms: -8 + 20U = 11(-6 + 2u) + -1Y -8 + 20U = (-6 * 11 + 2u * 11) + -1Y -8 + 20U = (-66 + 22u) + -1Y Reorder the terms: -8 + 20U = -66 + -1Y + 22u Solving -8 + 20U = -66 + -1Y + 22u Solving for variable 'U'. Move all terms containing U to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 20U = -66 + -1Y + 8 + 22u Combine like terms: -8 + 8 = 0 0 + 20U = -66 + -1Y + 8 + 22u 20U = -66 + -1Y + 8 + 22u Reorder the terms: 20U = -66 + 8 + -1Y + 22u Combine like terms: -66 + 8 = -58 20U = -58 + -1Y + 22u Divide each side by '20'. U = -2.9 + -0.05Y + 1.1u Simplifying U = -2.9 + -0.05Y + 1.1u
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