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Simplifying 2(u + -7) + -2 = -2(-5u + 1) + -2u Reorder the terms: 2(-7 + u) + -2 = -2(-5u + 1) + -2u (-7 * 2 + u * 2) + -2 = -2(-5u + 1) + -2u (-14 + 2u) + -2 = -2(-5u + 1) + -2u Reorder the terms: -14 + -2 + 2u = -2(-5u + 1) + -2u Combine like terms: -14 + -2 = -16 -16 + 2u = -2(-5u + 1) + -2u Reorder the terms: -16 + 2u = -2(1 + -5u) + -2u -16 + 2u = (1 * -2 + -5u * -2) + -2u -16 + 2u = (-2 + 10u) + -2u Combine like terms: 10u + -2u = 8u -16 + 2u = -2 + 8u Solving -16 + 2u = -2 + 8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-8u' to each side of the equation. -16 + 2u + -8u = -2 + 8u + -8u Combine like terms: 2u + -8u = -6u -16 + -6u = -2 + 8u + -8u Combine like terms: 8u + -8u = 0 -16 + -6u = -2 + 0 -16 + -6u = -2 Add '16' to each side of the equation. -16 + 16 + -6u = -2 + 16 Combine like terms: -16 + 16 = 0 0 + -6u = -2 + 16 -6u = -2 + 16 Combine like terms: -2 + 16 = 14 -6u = 14 Divide each side by '-6'. u = -2.333333333 Simplifying u = -2.333333333
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