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Simplifying -8u + 32 = 7(u + -4) Reorder the terms: 32 + -8u = 7(u + -4) Reorder the terms: 32 + -8u = 7(-4 + u) 32 + -8u = (-4 * 7 + u * 7) 32 + -8u = (-28 + 7u) Solving 32 + -8u = -28 + 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 + -8u + -7u = -28 + 7u + -7u Combine like terms: -8u + -7u = -15u 32 + -15u = -28 + 7u + -7u Combine like terms: 7u + -7u = 0 32 + -15u = -28 + 0 32 + -15u = -28 Add '-32' to each side of the equation. 32 + -32 + -15u = -28 + -32 Combine like terms: 32 + -32 = 0 0 + -15u = -28 + -32 -15u = -28 + -32 Combine like terms: -28 + -32 = -60 -15u = -60 Divide each side by '-15'. u = 4 Simplifying u = 4
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