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Simplifying 2(u + -7) + -8 = -3(-6u + 6) + -2u Reorder the terms: 2(-7 + u) + -8 = -3(-6u + 6) + -2u (-7 * 2 + u * 2) + -8 = -3(-6u + 6) + -2u (-14 + 2u) + -8 = -3(-6u + 6) + -2u Reorder the terms: -14 + -8 + 2u = -3(-6u + 6) + -2u Combine like terms: -14 + -8 = -22 -22 + 2u = -3(-6u + 6) + -2u Reorder the terms: -22 + 2u = -3(6 + -6u) + -2u -22 + 2u = (6 * -3 + -6u * -3) + -2u -22 + 2u = (-18 + 18u) + -2u Combine like terms: 18u + -2u = 16u -22 + 2u = -18 + 16u Solving -22 + 2u = -18 + 16u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-16u' to each side of the equation. -22 + 2u + -16u = -18 + 16u + -16u Combine like terms: 2u + -16u = -14u -22 + -14u = -18 + 16u + -16u Combine like terms: 16u + -16u = 0 -22 + -14u = -18 + 0 -22 + -14u = -18 Add '22' to each side of the equation. -22 + 22 + -14u = -18 + 22 Combine like terms: -22 + 22 = 0 0 + -14u = -18 + 22 -14u = -18 + 22 Combine like terms: -18 + 22 = 4 -14u = 4 Divide each side by '-14'. u = -0.2857142857 Simplifying u = -0.2857142857
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