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Simplifying -3(-7u + 9) + -6u = 7(u + -3) + -4 Reorder the terms: -3(9 + -7u) + -6u = 7(u + -3) + -4 (9 * -3 + -7u * -3) + -6u = 7(u + -3) + -4 (-27 + 21u) + -6u = 7(u + -3) + -4 Combine like terms: 21u + -6u = 15u -27 + 15u = 7(u + -3) + -4 Reorder the terms: -27 + 15u = 7(-3 + u) + -4 -27 + 15u = (-3 * 7 + u * 7) + -4 -27 + 15u = (-21 + 7u) + -4 Reorder the terms: -27 + 15u = -21 + -4 + 7u Combine like terms: -21 + -4 = -25 -27 + 15u = -25 + 7u Solving -27 + 15u = -25 + 7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-7u' to each side of the equation. -27 + 15u + -7u = -25 + 7u + -7u Combine like terms: 15u + -7u = 8u -27 + 8u = -25 + 7u + -7u Combine like terms: 7u + -7u = 0 -27 + 8u = -25 + 0 -27 + 8u = -25 Add '27' to each side of the equation. -27 + 27 + 8u = -25 + 27 Combine like terms: -27 + 27 = 0 0 + 8u = -25 + 27 8u = -25 + 27 Combine like terms: -25 + 27 = 2 8u = 2 Divide each side by '8'. u = 0.25 Simplifying u = 0.25
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