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Simplifying 5u + -7 + 2(4u + 1) = -2(u + 7) Reorder the terms: 5u + -7 + 2(1 + 4u) = -2(u + 7) 5u + -7 + (1 * 2 + 4u * 2) = -2(u + 7) 5u + -7 + (2 + 8u) = -2(u + 7) Reorder the terms: -7 + 2 + 5u + 8u = -2(u + 7) Combine like terms: -7 + 2 = -5 -5 + 5u + 8u = -2(u + 7) Combine like terms: 5u + 8u = 13u -5 + 13u = -2(u + 7) Reorder the terms: -5 + 13u = -2(7 + u) -5 + 13u = (7 * -2 + u * -2) -5 + 13u = (-14 + -2u) Solving -5 + 13u = -14 + -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. -5 + 13u + 2u = -14 + -2u + 2u Combine like terms: 13u + 2u = 15u -5 + 15u = -14 + -2u + 2u Combine like terms: -2u + 2u = 0 -5 + 15u = -14 + 0 -5 + 15u = -14 Add '5' to each side of the equation. -5 + 5 + 15u = -14 + 5 Combine like terms: -5 + 5 = 0 0 + 15u = -14 + 5 15u = -14 + 5 Combine like terms: -14 + 5 = -9 15u = -9 Divide each side by '15'. u = -0.6 Simplifying u = -0.6
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