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Simplifying 4(u + -8) = -7u + 45 Reorder the terms: 4(-8 + u) = -7u + 45 (-8 * 4 + u * 4) = -7u + 45 (-32 + 4u) = -7u + 45 Reorder the terms: -32 + 4u = 45 + -7u Solving -32 + 4u = 45 + -7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '7u' to each side of the equation. -32 + 4u + 7u = 45 + -7u + 7u Combine like terms: 4u + 7u = 11u -32 + 11u = 45 + -7u + 7u Combine like terms: -7u + 7u = 0 -32 + 11u = 45 + 0 -32 + 11u = 45 Add '32' to each side of the equation. -32 + 32 + 11u = 45 + 32 Combine like terms: -32 + 32 = 0 0 + 11u = 45 + 32 11u = 45 + 32 Combine like terms: 45 + 32 = 77 11u = 77 Divide each side by '11'. u = 7 Simplifying u = 7
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