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Simplifying -4(u + 9) = 8u + -48 Reorder the terms: -4(9 + u) = 8u + -48 (9 * -4 + u * -4) = 8u + -48 (-36 + -4u) = 8u + -48 Reorder the terms: -36 + -4u = -48 + 8u Solving -36 + -4u = -48 + 8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-8u' to each side of the equation. -36 + -4u + -8u = -48 + 8u + -8u Combine like terms: -4u + -8u = -12u -36 + -12u = -48 + 8u + -8u Combine like terms: 8u + -8u = 0 -36 + -12u = -48 + 0 -36 + -12u = -48 Add '36' to each side of the equation. -36 + 36 + -12u = -48 + 36 Combine like terms: -36 + 36 = 0 0 + -12u = -48 + 36 -12u = -48 + 36 Combine like terms: -48 + 36 = -12 -12u = -12 Divide each side by '-12'. u = 1 Simplifying u = 1
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