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Simplifying 7(u + -1) + -2 = -5(-5u + 3) + -2u Reorder the terms: 7(-1 + u) + -2 = -5(-5u + 3) + -2u (-1 * 7 + u * 7) + -2 = -5(-5u + 3) + -2u (-7 + 7u) + -2 = -5(-5u + 3) + -2u Reorder the terms: -7 + -2 + 7u = -5(-5u + 3) + -2u Combine like terms: -7 + -2 = -9 -9 + 7u = -5(-5u + 3) + -2u Reorder the terms: -9 + 7u = -5(3 + -5u) + -2u -9 + 7u = (3 * -5 + -5u * -5) + -2u -9 + 7u = (-15 + 25u) + -2u Combine like terms: 25u + -2u = 23u -9 + 7u = -15 + 23u Solving -9 + 7u = -15 + 23u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-23u' to each side of the equation. -9 + 7u + -23u = -15 + 23u + -23u Combine like terms: 7u + -23u = -16u -9 + -16u = -15 + 23u + -23u Combine like terms: 23u + -23u = 0 -9 + -16u = -15 + 0 -9 + -16u = -15 Add '9' to each side of the equation. -9 + 9 + -16u = -15 + 9 Combine like terms: -9 + 9 = 0 0 + -16u = -15 + 9 -16u = -15 + 9 Combine like terms: -15 + 9 = -6 -16u = -6 Divide each side by '-16'. u = 0.375 Simplifying u = 0.375
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