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Simplifying 4(u + -7) + -4 = -5(-4u + 7) + -7u Reorder the terms: 4(-7 + u) + -4 = -5(-4u + 7) + -7u (-7 * 4 + u * 4) + -4 = -5(-4u + 7) + -7u (-28 + 4u) + -4 = -5(-4u + 7) + -7u Reorder the terms: -28 + -4 + 4u = -5(-4u + 7) + -7u Combine like terms: -28 + -4 = -32 -32 + 4u = -5(-4u + 7) + -7u Reorder the terms: -32 + 4u = -5(7 + -4u) + -7u -32 + 4u = (7 * -5 + -4u * -5) + -7u -32 + 4u = (-35 + 20u) + -7u Combine like terms: 20u + -7u = 13u -32 + 4u = -35 + 13u Solving -32 + 4u = -35 + 13u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-13u' to each side of the equation. -32 + 4u + -13u = -35 + 13u + -13u Combine like terms: 4u + -13u = -9u -32 + -9u = -35 + 13u + -13u Combine like terms: 13u + -13u = 0 -32 + -9u = -35 + 0 -32 + -9u = -35 Add '32' to each side of the equation. -32 + 32 + -9u = -35 + 32 Combine like terms: -32 + 32 = 0 0 + -9u = -35 + 32 -9u = -35 + 32 Combine like terms: -35 + 32 = -3 -9u = -3 Divide each side by '-9'. u = 0.3333333333 Simplifying u = 0.3333333333
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