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Simplifying 4(u + -9) = 5u + -20 + -20 Reorder the terms: 4(-9 + u) = 5u + -20 + -20 (-9 * 4 + u * 4) = 5u + -20 + -20 (-36 + 4u) = 5u + -20 + -20 Reorder the terms: -36 + 4u = -20 + -20 + 5u Combine like terms: -20 + -20 = -40 -36 + 4u = -40 + 5u Solving -36 + 4u = -40 + 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. -36 + 4u + -5u = -40 + 5u + -5u Combine like terms: 4u + -5u = -1u -36 + -1u = -40 + 5u + -5u Combine like terms: 5u + -5u = 0 -36 + -1u = -40 + 0 -36 + -1u = -40 Add '36' to each side of the equation. -36 + 36 + -1u = -40 + 36 Combine like terms: -36 + 36 = 0 0 + -1u = -40 + 36 -1u = -40 + 36 Combine like terms: -40 + 36 = -4 -1u = -4 Divide each side by '-1'. u = 4 Simplifying u = 4
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