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Simplifying 2(u + -2) = 8u + 8 + -2(-2u + -2) Reorder the terms: 2(-2 + u) = 8u + 8 + -2(-2u + -2) (-2 * 2 + u * 2) = 8u + 8 + -2(-2u + -2) (-4 + 2u) = 8u + 8 + -2(-2u + -2) Reorder the terms: -4 + 2u = 8u + 8 + -2(-2 + -2u) -4 + 2u = 8u + 8 + (-2 * -2 + -2u * -2) -4 + 2u = 8u + 8 + (4 + 4u) Reorder the terms: -4 + 2u = 8 + 4 + 8u + 4u Combine like terms: 8 + 4 = 12 -4 + 2u = 12 + 8u + 4u Combine like terms: 8u + 4u = 12u -4 + 2u = 12 + 12u Solving -4 + 2u = 12 + 12u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-12u' to each side of the equation. -4 + 2u + -12u = 12 + 12u + -12u Combine like terms: 2u + -12u = -10u -4 + -10u = 12 + 12u + -12u Combine like terms: 12u + -12u = 0 -4 + -10u = 12 + 0 -4 + -10u = 12 Add '4' to each side of the equation. -4 + 4 + -10u = 12 + 4 Combine like terms: -4 + 4 = 0 0 + -10u = 12 + 4 -10u = 12 + 4 Combine like terms: 12 + 4 = 16 -10u = 16 Divide each side by '-10'. u = -1.6 Simplifying u = -1.6
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