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Simplifying 7(u + -2) + -7 = -2(-9u + 3) + -1u Reorder the terms: 7(-2 + u) + -7 = -2(-9u + 3) + -1u (-2 * 7 + u * 7) + -7 = -2(-9u + 3) + -1u (-14 + 7u) + -7 = -2(-9u + 3) + -1u Reorder the terms: -14 + -7 + 7u = -2(-9u + 3) + -1u Combine like terms: -14 + -7 = -21 -21 + 7u = -2(-9u + 3) + -1u Reorder the terms: -21 + 7u = -2(3 + -9u) + -1u -21 + 7u = (3 * -2 + -9u * -2) + -1u -21 + 7u = (-6 + 18u) + -1u Combine like terms: 18u + -1u = 17u -21 + 7u = -6 + 17u Solving -21 + 7u = -6 + 17u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-17u' to each side of the equation. -21 + 7u + -17u = -6 + 17u + -17u Combine like terms: 7u + -17u = -10u -21 + -10u = -6 + 17u + -17u Combine like terms: 17u + -17u = 0 -21 + -10u = -6 + 0 -21 + -10u = -6 Add '21' to each side of the equation. -21 + 21 + -10u = -6 + 21 Combine like terms: -21 + 21 = 0 0 + -10u = -6 + 21 -10u = -6 + 21 Combine like terms: -6 + 21 = 15 -10u = 15 Divide each side by '-10'. u = -1.5 Simplifying u = -1.5
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