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Simplifying -3(-8u + 4) + -7u = 2(u + -8) + -2 Reorder the terms: -3(4 + -8u) + -7u = 2(u + -8) + -2 (4 * -3 + -8u * -3) + -7u = 2(u + -8) + -2 (-12 + 24u) + -7u = 2(u + -8) + -2 Combine like terms: 24u + -7u = 17u -12 + 17u = 2(u + -8) + -2 Reorder the terms: -12 + 17u = 2(-8 + u) + -2 -12 + 17u = (-8 * 2 + u * 2) + -2 -12 + 17u = (-16 + 2u) + -2 Reorder the terms: -12 + 17u = -16 + -2 + 2u Combine like terms: -16 + -2 = -18 -12 + 17u = -18 + 2u Solving -12 + 17u = -18 + 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. -12 + 17u + -2u = -18 + 2u + -2u Combine like terms: 17u + -2u = 15u -12 + 15u = -18 + 2u + -2u Combine like terms: 2u + -2u = 0 -12 + 15u = -18 + 0 -12 + 15u = -18 Add '12' to each side of the equation. -12 + 12 + 15u = -18 + 12 Combine like terms: -12 + 12 = 0 0 + 15u = -18 + 12 15u = -18 + 12 Combine like terms: -18 + 12 = -6 15u = -6 Divide each side by '15'. u = -0.4 Simplifying u = -0.4
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