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Simplifying 4(u + -5) + -8 = -3(-9u + 6) + -7u Reorder the terms: 4(-5 + u) + -8 = -3(-9u + 6) + -7u (-5 * 4 + u * 4) + -8 = -3(-9u + 6) + -7u (-20 + 4u) + -8 = -3(-9u + 6) + -7u Reorder the terms: -20 + -8 + 4u = -3(-9u + 6) + -7u Combine like terms: -20 + -8 = -28 -28 + 4u = -3(-9u + 6) + -7u Reorder the terms: -28 + 4u = -3(6 + -9u) + -7u -28 + 4u = (6 * -3 + -9u * -3) + -7u -28 + 4u = (-18 + 27u) + -7u Combine like terms: 27u + -7u = 20u -28 + 4u = -18 + 20u Solving -28 + 4u = -18 + 20u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-20u' to each side of the equation. -28 + 4u + -20u = -18 + 20u + -20u Combine like terms: 4u + -20u = -16u -28 + -16u = -18 + 20u + -20u Combine like terms: 20u + -20u = 0 -28 + -16u = -18 + 0 -28 + -16u = -18 Add '28' to each side of the equation. -28 + 28 + -16u = -18 + 28 Combine like terms: -28 + 28 = 0 0 + -16u = -18 + 28 -16u = -18 + 28 Combine like terms: -18 + 28 = 10 -16u = 10 Divide each side by '-16'. u = -0.625 Simplifying u = -0.625
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