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Simplifying 5(u + -4) + -4 = -3(-9u + 5) + -4u Reorder the terms: 5(-4 + u) + -4 = -3(-9u + 5) + -4u (-4 * 5 + u * 5) + -4 = -3(-9u + 5) + -4u (-20 + 5u) + -4 = -3(-9u + 5) + -4u Reorder the terms: -20 + -4 + 5u = -3(-9u + 5) + -4u Combine like terms: -20 + -4 = -24 -24 + 5u = -3(-9u + 5) + -4u Reorder the terms: -24 + 5u = -3(5 + -9u) + -4u -24 + 5u = (5 * -3 + -9u * -3) + -4u -24 + 5u = (-15 + 27u) + -4u Combine like terms: 27u + -4u = 23u -24 + 5u = -15 + 23u Solving -24 + 5u = -15 + 23u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-23u' to each side of the equation. -24 + 5u + -23u = -15 + 23u + -23u Combine like terms: 5u + -23u = -18u -24 + -18u = -15 + 23u + -23u Combine like terms: 23u + -23u = 0 -24 + -18u = -15 + 0 -24 + -18u = -15 Add '24' to each side of the equation. -24 + 24 + -18u = -15 + 24 Combine like terms: -24 + 24 = 0 0 + -18u = -15 + 24 -18u = -15 + 24 Combine like terms: -15 + 24 = 9 -18u = 9 Divide each side by '-18'. u = -0.5 Simplifying u = -0.5
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