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Simplifying -3(-2u + 5) + -7u = 5(u + -1) + -6 Reorder the terms: -3(5 + -2u) + -7u = 5(u + -1) + -6 (5 * -3 + -2u * -3) + -7u = 5(u + -1) + -6 (-15 + 6u) + -7u = 5(u + -1) + -6 Combine like terms: 6u + -7u = -1u -15 + -1u = 5(u + -1) + -6 Reorder the terms: -15 + -1u = 5(-1 + u) + -6 -15 + -1u = (-1 * 5 + u * 5) + -6 -15 + -1u = (-5 + 5u) + -6 Reorder the terms: -15 + -1u = -5 + -6 + 5u Combine like terms: -5 + -6 = -11 -15 + -1u = -11 + 5u Solving -15 + -1u = -11 + 5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-5u' to each side of the equation. -15 + -1u + -5u = -11 + 5u + -5u Combine like terms: -1u + -5u = -6u -15 + -6u = -11 + 5u + -5u Combine like terms: 5u + -5u = 0 -15 + -6u = -11 + 0 -15 + -6u = -11 Add '15' to each side of the equation. -15 + 15 + -6u = -11 + 15 Combine like terms: -15 + 15 = 0 0 + -6u = -11 + 15 -6u = -11 + 15 Combine like terms: -11 + 15 = 4 -6u = 4 Divide each side by '-6'. u = -0.6666666667 Simplifying u = -0.6666666667
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