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Simplifying 2(u + -7) + -6 = -6(-4u + 6) + -8u Reorder the terms: 2(-7 + u) + -6 = -6(-4u + 6) + -8u (-7 * 2 + u * 2) + -6 = -6(-4u + 6) + -8u (-14 + 2u) + -6 = -6(-4u + 6) + -8u Reorder the terms: -14 + -6 + 2u = -6(-4u + 6) + -8u Combine like terms: -14 + -6 = -20 -20 + 2u = -6(-4u + 6) + -8u Reorder the terms: -20 + 2u = -6(6 + -4u) + -8u -20 + 2u = (6 * -6 + -4u * -6) + -8u -20 + 2u = (-36 + 24u) + -8u Combine like terms: 24u + -8u = 16u -20 + 2u = -36 + 16u Solving -20 + 2u = -36 + 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. -20 + 2u + -16u = -36 + 16u + -16u Combine like terms: 2u + -16u = -14u -20 + -14u = -36 + 16u + -16u Combine like terms: 16u + -16u = 0 -20 + -14u = -36 + 0 -20 + -14u = -36 Add '20' to each side of the equation. -20 + 20 + -14u = -36 + 20 Combine like terms: -20 + 20 = 0 0 + -14u = -36 + 20 -14u = -36 + 20 Combine like terms: -36 + 20 = -16 -14u = -16 Divide each side by '-14'. u = 1.142857143 Simplifying u = 1.142857143
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