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Simplifying -7(-3u + 4) + -4u = 5(u + -6) + -2 Reorder the terms: -7(4 + -3u) + -4u = 5(u + -6) + -2 (4 * -7 + -3u * -7) + -4u = 5(u + -6) + -2 (-28 + 21u) + -4u = 5(u + -6) + -2 Combine like terms: 21u + -4u = 17u -28 + 17u = 5(u + -6) + -2 Reorder the terms: -28 + 17u = 5(-6 + u) + -2 -28 + 17u = (-6 * 5 + u * 5) + -2 -28 + 17u = (-30 + 5u) + -2 Reorder the terms: -28 + 17u = -30 + -2 + 5u Combine like terms: -30 + -2 = -32 -28 + 17u = -32 + 5u Solving -28 + 17u = -32 + 5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-5u' to each side of the equation. -28 + 17u + -5u = -32 + 5u + -5u Combine like terms: 17u + -5u = 12u -28 + 12u = -32 + 5u + -5u Combine like terms: 5u + -5u = 0 -28 + 12u = -32 + 0 -28 + 12u = -32 Add '28' to each side of the equation. -28 + 28 + 12u = -32 + 28 Combine like terms: -28 + 28 = 0 0 + 12u = -32 + 28 12u = -32 + 28 Combine like terms: -32 + 28 = -4 12u = -4 Divide each side by '12'. u = -0.3333333333 Simplifying u = -0.3333333333
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