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Simplifying 5(u + -2) + -8 = -3(-6u + 7) + -7u Reorder the terms: 5(-2 + u) + -8 = -3(-6u + 7) + -7u (-2 * 5 + u * 5) + -8 = -3(-6u + 7) + -7u (-10 + 5u) + -8 = -3(-6u + 7) + -7u Reorder the terms: -10 + -8 + 5u = -3(-6u + 7) + -7u Combine like terms: -10 + -8 = -18 -18 + 5u = -3(-6u + 7) + -7u Reorder the terms: -18 + 5u = -3(7 + -6u) + -7u -18 + 5u = (7 * -3 + -6u * -3) + -7u -18 + 5u = (-21 + 18u) + -7u Combine like terms: 18u + -7u = 11u -18 + 5u = -21 + 11u Solving -18 + 5u = -21 + 11u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-11u' to each side of the equation. -18 + 5u + -11u = -21 + 11u + -11u Combine like terms: 5u + -11u = -6u -18 + -6u = -21 + 11u + -11u Combine like terms: 11u + -11u = 0 -18 + -6u = -21 + 0 -18 + -6u = -21 Add '18' to each side of the equation. -18 + 18 + -6u = -21 + 18 Combine like terms: -18 + 18 = 0 0 + -6u = -21 + 18 -6u = -21 + 18 Combine like terms: -21 + 18 = -3 -6u = -3 Divide each side by '-6'. u = 0.5 Simplifying u = 0.5
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