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Simplifying 8(4u + -2) + -2(4 + 6u) = -4(-2u + -12) Reorder the terms: 8(-2 + 4u) + -2(4 + 6u) = -4(-2u + -12) (-2 * 8 + 4u * 8) + -2(4 + 6u) = -4(-2u + -12) (-16 + 32u) + -2(4 + 6u) = -4(-2u + -12) -16 + 32u + (4 * -2 + 6u * -2) = -4(-2u + -12) -16 + 32u + (-8 + -12u) = -4(-2u + -12) Reorder the terms: -16 + -8 + 32u + -12u = -4(-2u + -12) Combine like terms: -16 + -8 = -24 -24 + 32u + -12u = -4(-2u + -12) Combine like terms: 32u + -12u = 20u -24 + 20u = -4(-2u + -12) Reorder the terms: -24 + 20u = -4(-12 + -2u) -24 + 20u = (-12 * -4 + -2u * -4) -24 + 20u = (48 + 8u) Solving -24 + 20u = 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. -24 + 20u + -8u = 48 + 8u + -8u Combine like terms: 20u + -8u = 12u -24 + 12u = 48 + 8u + -8u Combine like terms: 8u + -8u = 0 -24 + 12u = 48 + 0 -24 + 12u = 48 Add '24' to each side of the equation. -24 + 24 + 12u = 48 + 24 Combine like terms: -24 + 24 = 0 0 + 12u = 48 + 24 12u = 48 + 24 Combine like terms: 48 + 24 = 72 12u = 72 Divide each side by '12'. u = 6 Simplifying u = 6
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