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Simplifying 2(u + -2) + -7 = -3(-6u + 9) + -2u Reorder the terms: 2(-2 + u) + -7 = -3(-6u + 9) + -2u (-2 * 2 + u * 2) + -7 = -3(-6u + 9) + -2u (-4 + 2u) + -7 = -3(-6u + 9) + -2u Reorder the terms: -4 + -7 + 2u = -3(-6u + 9) + -2u Combine like terms: -4 + -7 = -11 -11 + 2u = -3(-6u + 9) + -2u Reorder the terms: -11 + 2u = -3(9 + -6u) + -2u -11 + 2u = (9 * -3 + -6u * -3) + -2u -11 + 2u = (-27 + 18u) + -2u Combine like terms: 18u + -2u = 16u -11 + 2u = -27 + 16u Solving -11 + 2u = -27 + 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. -11 + 2u + -16u = -27 + 16u + -16u Combine like terms: 2u + -16u = -14u -11 + -14u = -27 + 16u + -16u Combine like terms: 16u + -16u = 0 -11 + -14u = -27 + 0 -11 + -14u = -27 Add '11' to each side of the equation. -11 + 11 + -14u = -27 + 11 Combine like terms: -11 + 11 = 0 0 + -14u = -27 + 11 -14u = -27 + 11 Combine like terms: -27 + 11 = -16 -14u = -16 Divide each side by '-14'. u = 1.142857143 Simplifying u = 1.142857143
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