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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 = -84 12u = -84 Divide each side by '12'. u = -7 Simplifying u = -7
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