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Simplifying 6(u + -3) + -2 = -3(-7u + 4) + -1u Reorder the terms: 6(-3 + u) + -2 = -3(-7u + 4) + -1u (-3 * 6 + u * 6) + -2 = -3(-7u + 4) + -1u (-18 + 6u) + -2 = -3(-7u + 4) + -1u Reorder the terms: -18 + -2 + 6u = -3(-7u + 4) + -1u Combine like terms: -18 + -2 = -20 -20 + 6u = -3(-7u + 4) + -1u Reorder the terms: -20 + 6u = -3(4 + -7u) + -1u -20 + 6u = (4 * -3 + -7u * -3) + -1u -20 + 6u = (-12 + 21u) + -1u Combine like terms: 21u + -1u = 20u -20 + 6u = -12 + 20u Solving -20 + 6u = -12 + 20u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-20u' to each side of the equation. -20 + 6u + -20u = -12 + 20u + -20u Combine like terms: 6u + -20u = -14u -20 + -14u = -12 + 20u + -20u Combine like terms: 20u + -20u = 0 -20 + -14u = -12 + 0 -20 + -14u = -12 Add '20' to each side of the equation. -20 + 20 + -14u = -12 + 20 Combine like terms: -20 + 20 = 0 0 + -14u = -12 + 20 -14u = -12 + 20 Combine like terms: -12 + 20 = 8 -14u = 8 Divide each side by '-14'. u = -0.5714285714 Simplifying u = -0.5714285714
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