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Simplifying 5(u + -3) + -5 = -2(-8u + 9) + -7u Reorder the terms: 5(-3 + u) + -5 = -2(-8u + 9) + -7u (-3 * 5 + u * 5) + -5 = -2(-8u + 9) + -7u (-15 + 5u) + -5 = -2(-8u + 9) + -7u Reorder the terms: -15 + -5 + 5u = -2(-8u + 9) + -7u Combine like terms: -15 + -5 = -20 -20 + 5u = -2(-8u + 9) + -7u Reorder the terms: -20 + 5u = -2(9 + -8u) + -7u -20 + 5u = (9 * -2 + -8u * -2) + -7u -20 + 5u = (-18 + 16u) + -7u Combine like terms: 16u + -7u = 9u -20 + 5u = -18 + 9u Solving -20 + 5u = -18 + 9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-9u' to each side of the equation. -20 + 5u + -9u = -18 + 9u + -9u Combine like terms: 5u + -9u = -4u -20 + -4u = -18 + 9u + -9u Combine like terms: 9u + -9u = 0 -20 + -4u = -18 + 0 -20 + -4u = -18 Add '20' to each side of the equation. -20 + 20 + -4u = -18 + 20 Combine like terms: -20 + 20 = 0 0 + -4u = -18 + 20 -4u = -18 + 20 Combine like terms: -18 + 20 = 2 -4u = 2 Divide each side by '-4'. u = -0.5 Simplifying u = -0.5
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