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Simplifying -4u + 12 = 8(u + -6) Reorder the terms: 12 + -4u = 8(u + -6) Reorder the terms: 12 + -4u = 8(-6 + u) 12 + -4u = (-6 * 8 + u * 8) 12 + -4u = (-48 + 8u) Solving 12 + -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. 12 + -4u + -8u = -48 + 8u + -8u Combine like terms: -4u + -8u = -12u 12 + -12u = -48 + 8u + -8u Combine like terms: 8u + -8u = 0 12 + -12u = -48 + 0 12 + -12u = -48 Add '-12' to each side of the equation. 12 + -12 + -12u = -48 + -12 Combine like terms: 12 + -12 = 0 0 + -12u = -48 + -12 -12u = -48 + -12 Combine like terms: -48 + -12 = -60 -12u = -60 Divide each side by '-12'. u = 5 Simplifying u = 5
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