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Simplifying -3(4u + 7) + -2u = 2(u + -2) + -7 Reorder the terms: -3(7 + 4u) + -2u = 2(u + -2) + -7 (7 * -3 + 4u * -3) + -2u = 2(u + -2) + -7 (-21 + -12u) + -2u = 2(u + -2) + -7 Combine like terms: -12u + -2u = -14u -21 + -14u = 2(u + -2) + -7 Reorder the terms: -21 + -14u = 2(-2 + u) + -7 -21 + -14u = (-2 * 2 + u * 2) + -7 -21 + -14u = (-4 + 2u) + -7 Reorder the terms: -21 + -14u = -4 + -7 + 2u Combine like terms: -4 + -7 = -11 -21 + -14u = -11 + 2u Solving -21 + -14u = -11 + 2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-2u' to each side of the equation. -21 + -14u + -2u = -11 + 2u + -2u Combine like terms: -14u + -2u = -16u -21 + -16u = -11 + 2u + -2u Combine like terms: 2u + -2u = 0 -21 + -16u = -11 + 0 -21 + -16u = -11 Add '21' to each side of the equation. -21 + 21 + -16u = -11 + 21 Combine like terms: -21 + 21 = 0 0 + -16u = -11 + 21 -16u = -11 + 21 Combine like terms: -11 + 21 = 10 -16u = 10 Divide each side by '-16'. u = -0.625 Simplifying u = -0.625
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