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Simplifying 2(u + -7) + -4 = -3(-5u + 8) + -9u Reorder the terms: 2(-7 + u) + -4 = -3(-5u + 8) + -9u (-7 * 2 + u * 2) + -4 = -3(-5u + 8) + -9u (-14 + 2u) + -4 = -3(-5u + 8) + -9u Reorder the terms: -14 + -4 + 2u = -3(-5u + 8) + -9u Combine like terms: -14 + -4 = -18 -18 + 2u = -3(-5u + 8) + -9u Reorder the terms: -18 + 2u = -3(8 + -5u) + -9u -18 + 2u = (8 * -3 + -5u * -3) + -9u -18 + 2u = (-24 + 15u) + -9u Combine like terms: 15u + -9u = 6u -18 + 2u = -24 + 6u Solving -18 + 2u = -24 + 6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-6u' to each side of the equation. -18 + 2u + -6u = -24 + 6u + -6u Combine like terms: 2u + -6u = -4u -18 + -4u = -24 + 6u + -6u Combine like terms: 6u + -6u = 0 -18 + -4u = -24 + 0 -18 + -4u = -24 Add '18' to each side of the equation. -18 + 18 + -4u = -24 + 18 Combine like terms: -18 + 18 = 0 0 + -4u = -24 + 18 -4u = -24 + 18 Combine like terms: -24 + 18 = -6 -4u = -6 Divide each side by '-4'. u = 1.5 Simplifying u = 1.5
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