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Simplifying -2(-9u + 8) + -6u = 4(u + -5) + -2 Reorder the terms: -2(8 + -9u) + -6u = 4(u + -5) + -2 (8 * -2 + -9u * -2) + -6u = 4(u + -5) + -2 (-16 + 18u) + -6u = 4(u + -5) + -2 Combine like terms: 18u + -6u = 12u -16 + 12u = 4(u + -5) + -2 Reorder the terms: -16 + 12u = 4(-5 + u) + -2 -16 + 12u = (-5 * 4 + u * 4) + -2 -16 + 12u = (-20 + 4u) + -2 Reorder the terms: -16 + 12u = -20 + -2 + 4u Combine like terms: -20 + -2 = -22 -16 + 12u = -22 + 4u Solving -16 + 12u = -22 + 4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-4u' to each side of the equation. -16 + 12u + -4u = -22 + 4u + -4u Combine like terms: 12u + -4u = 8u -16 + 8u = -22 + 4u + -4u Combine like terms: 4u + -4u = 0 -16 + 8u = -22 + 0 -16 + 8u = -22 Add '16' to each side of the equation. -16 + 16 + 8u = -22 + 16 Combine like terms: -16 + 16 = 0 0 + 8u = -22 + 16 8u = -22 + 16 Combine like terms: -22 + 16 = -6 8u = -6 Divide each side by '8'. u = -0.75 Simplifying u = -0.75
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