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Simplifying -4u + -32 = 7(u + 8) Reorder the terms: -32 + -4u = 7(u + 8) Reorder the terms: -32 + -4u = 7(8 + u) -32 + -4u = (8 * 7 + u * 7) -32 + -4u = (56 + 7u) Solving -32 + -4u = 56 + 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 = 56 + 7u + -7u Combine like terms: -4u + -7u = -11u -32 + -11u = 56 + 7u + -7u Combine like terms: 7u + -7u = 0 -32 + -11u = 56 + 0 -32 + -11u = 56 Add '32' to each side of the equation. -32 + 32 + -11u = 56 + 32 Combine like terms: -32 + 32 = 0 0 + -11u = 56 + 32 -11u = 56 + 32 Combine like terms: 56 + 32 = 88 -11u = 88 Divide each side by '-11'. u = -8 Simplifying u = -8
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