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Simplifying 4u + -12 = -8(u + 9) Reorder the terms: -12 + 4u = -8(u + 9) Reorder the terms: -12 + 4u = -8(9 + u) -12 + 4u = (9 * -8 + u * -8) -12 + 4u = (-72 + -8u) Solving -12 + 4u = -72 + -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 = -72 + -8u + 8u Combine like terms: 4u + 8u = 12u -12 + 12u = -72 + -8u + 8u Combine like terms: -8u + 8u = 0 -12 + 12u = -72 + 0 -12 + 12u = -72 Add '12' to each side of the equation. -12 + 12 + 12u = -72 + 12 Combine like terms: -12 + 12 = 0 0 + 12u = -72 + 12 12u = -72 + 12 Combine like terms: -72 + 12 = -60 12u = -60 Divide each side by '12'. u = -5 Simplifying u = -5
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