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Simplifying 2(u + -8) + -5 = -3(-6u + 5) + -7u Reorder the terms: 2(-8 + u) + -5 = -3(-6u + 5) + -7u (-8 * 2 + u * 2) + -5 = -3(-6u + 5) + -7u (-16 + 2u) + -5 = -3(-6u + 5) + -7u Reorder the terms: -16 + -5 + 2u = -3(-6u + 5) + -7u Combine like terms: -16 + -5 = -21 -21 + 2u = -3(-6u + 5) + -7u Reorder the terms: -21 + 2u = -3(5 + -6u) + -7u -21 + 2u = (5 * -3 + -6u * -3) + -7u -21 + 2u = (-15 + 18u) + -7u Combine like terms: 18u + -7u = 11u -21 + 2u = -15 + 11u Solving -21 + 2u = -15 + 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. -21 + 2u + -11u = -15 + 11u + -11u Combine like terms: 2u + -11u = -9u -21 + -9u = -15 + 11u + -11u Combine like terms: 11u + -11u = 0 -21 + -9u = -15 + 0 -21 + -9u = -15 Add '21' to each side of the equation. -21 + 21 + -9u = -15 + 21 Combine like terms: -21 + 21 = 0 0 + -9u = -15 + 21 -9u = -15 + 21 Combine like terms: -15 + 21 = 6 -9u = 6 Divide each side by '-9'. u = -0.6666666667 Simplifying u = -0.6666666667
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