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Simplifying -4(u + 2) = 4u + 48 Reorder the terms: -4(2 + u) = 4u + 48 (2 * -4 + u * -4) = 4u + 48 (-8 + -4u) = 4u + 48 Reorder the terms: -8 + -4u = 48 + 4u Solving -8 + -4u = 48 + 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. -8 + -4u + -4u = 48 + 4u + -4u Combine like terms: -4u + -4u = -8u -8 + -8u = 48 + 4u + -4u Combine like terms: 4u + -4u = 0 -8 + -8u = 48 + 0 -8 + -8u = 48 Add '8' to each side of the equation. -8 + 8 + -8u = 48 + 8 Combine like terms: -8 + 8 = 0 0 + -8u = 48 + 8 -8u = 48 + 8 Combine like terms: 48 + 8 = 56 -8u = 56 Divide each side by '-8'. u = -7 Simplifying u = -7
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