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Simplifying -5(u + 3) = 7U + -5 + 2(2U + 4) Reorder the terms: -5(3 + u) = 7U + -5 + 2(2U + 4) (3 * -5 + u * -5) = 7U + -5 + 2(2U + 4) (-15 + -5u) = 7U + -5 + 2(2U + 4) Reorder the terms: -15 + -5u = 7U + -5 + 2(4 + 2U) -15 + -5u = 7U + -5 + (4 * 2 + 2U * 2) -15 + -5u = 7U + -5 + (8 + 4U) Reorder the terms: -15 + -5u = -5 + 8 + 7U + 4U Combine like terms: -5 + 8 = 3 -15 + -5u = 3 + 7U + 4U Combine like terms: 7U + 4U = 11U -15 + -5u = 3 + 11U Solving -15 + -5u = 3 + 11U Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -5u = 3 + 15 + 11U Combine like terms: -15 + 15 = 0 0 + -5u = 3 + 15 + 11U -5u = 3 + 15 + 11U Combine like terms: 3 + 15 = 18 -5u = 18 + 11U Divide each side by '-5'. u = -3.6 + -2.2U Simplifying u = -3.6 + -2.2U
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