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Simplifying 4(-16u + 4) = -4(12u + 15) + -12u Reorder the terms: 4(4 + -16u) = -4(12u + 15) + -12u (4 * 4 + -16u * 4) = -4(12u + 15) + -12u (16 + -64u) = -4(12u + 15) + -12u Reorder the terms: 16 + -64u = -4(15 + 12u) + -12u 16 + -64u = (15 * -4 + 12u * -4) + -12u 16 + -64u = (-60 + -48u) + -12u Combine like terms: -48u + -12u = -60u 16 + -64u = -60 + -60u Solving 16 + -64u = -60 + -60u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '60u' to each side of the equation. 16 + -64u + 60u = -60 + -60u + 60u Combine like terms: -64u + 60u = -4u 16 + -4u = -60 + -60u + 60u Combine like terms: -60u + 60u = 0 16 + -4u = -60 + 0 16 + -4u = -60 Add '-16' to each side of the equation. 16 + -16 + -4u = -60 + -16 Combine like terms: 16 + -16 = 0 0 + -4u = -60 + -16 -4u = -60 + -16 Combine like terms: -60 + -16 = -76 -4u = -76 Divide each side by '-4'. u = 19 Simplifying u = 19
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