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Simplifying 7(u + -2) + -6 = -2(-9u + 7) + -7u Reorder the terms: 7(-2 + u) + -6 = -2(-9u + 7) + -7u (-2 * 7 + u * 7) + -6 = -2(-9u + 7) + -7u (-14 + 7u) + -6 = -2(-9u + 7) + -7u Reorder the terms: -14 + -6 + 7u = -2(-9u + 7) + -7u Combine like terms: -14 + -6 = -20 -20 + 7u = -2(-9u + 7) + -7u Reorder the terms: -20 + 7u = -2(7 + -9u) + -7u -20 + 7u = (7 * -2 + -9u * -2) + -7u -20 + 7u = (-14 + 18u) + -7u Combine like terms: 18u + -7u = 11u -20 + 7u = -14 + 11u Solving -20 + 7u = -14 + 11u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-11u' to each side of the equation. -20 + 7u + -11u = -14 + 11u + -11u Combine like terms: 7u + -11u = -4u -20 + -4u = -14 + 11u + -11u Combine like terms: 11u + -11u = 0 -20 + -4u = -14 + 0 -20 + -4u = -14 Add '20' to each side of the equation. -20 + 20 + -4u = -14 + 20 Combine like terms: -20 + 20 = 0 0 + -4u = -14 + 20 -4u = -14 + 20 Combine like terms: -14 + 20 = 6 -4u = 6 Divide each side by '-4'. u = -1.5 Simplifying u = -1.5
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