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Simplifying -6u + -24 = -4(u + 8) Reorder the terms: -24 + -6u = -4(u + 8) Reorder the terms: -24 + -6u = -4(8 + u) -24 + -6u = (8 * -4 + u * -4) -24 + -6u = (-32 + -4u) Solving -24 + -6u = -32 + -4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '4u' to each side of the equation. -24 + -6u + 4u = -32 + -4u + 4u Combine like terms: -6u + 4u = -2u -24 + -2u = -32 + -4u + 4u Combine like terms: -4u + 4u = 0 -24 + -2u = -32 + 0 -24 + -2u = -32 Add '24' to each side of the equation. -24 + 24 + -2u = -32 + 24 Combine like terms: -24 + 24 = 0 0 + -2u = -32 + 24 -2u = -32 + 24 Combine like terms: -32 + 24 = -8 -2u = -8 Divide each side by '-2'. u = 4 Simplifying u = 4
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