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Simplifying -6(-5u + 5) + -7u = 7(u + -3) + -3 Reorder the terms: -6(5 + -5u) + -7u = 7(u + -3) + -3 (5 * -6 + -5u * -6) + -7u = 7(u + -3) + -3 (-30 + 30u) + -7u = 7(u + -3) + -3 Combine like terms: 30u + -7u = 23u -30 + 23u = 7(u + -3) + -3 Reorder the terms: -30 + 23u = 7(-3 + u) + -3 -30 + 23u = (-3 * 7 + u * 7) + -3 -30 + 23u = (-21 + 7u) + -3 Reorder the terms: -30 + 23u = -21 + -3 + 7u Combine like terms: -21 + -3 = -24 -30 + 23u = -24 + 7u Solving -30 + 23u = -24 + 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. -30 + 23u + -7u = -24 + 7u + -7u Combine like terms: 23u + -7u = 16u -30 + 16u = -24 + 7u + -7u Combine like terms: 7u + -7u = 0 -30 + 16u = -24 + 0 -30 + 16u = -24 Add '30' to each side of the equation. -30 + 30 + 16u = -24 + 30 Combine like terms: -30 + 30 = 0 0 + 16u = -24 + 30 16u = -24 + 30 Combine like terms: -24 + 30 = 6 16u = 6 Divide each side by '16'. u = 0.375 Simplifying u = 0.375
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