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Simplifying 6(u + -3) + -8 = -4(-6u + 8) + -3u Reorder the terms: 6(-3 + u) + -8 = -4(-6u + 8) + -3u (-3 * 6 + u * 6) + -8 = -4(-6u + 8) + -3u (-18 + 6u) + -8 = -4(-6u + 8) + -3u Reorder the terms: -18 + -8 + 6u = -4(-6u + 8) + -3u Combine like terms: -18 + -8 = -26 -26 + 6u = -4(-6u + 8) + -3u Reorder the terms: -26 + 6u = -4(8 + -6u) + -3u -26 + 6u = (8 * -4 + -6u * -4) + -3u -26 + 6u = (-32 + 24u) + -3u Combine like terms: 24u + -3u = 21u -26 + 6u = -32 + 21u Solving -26 + 6u = -32 + 21u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-21u' to each side of the equation. -26 + 6u + -21u = -32 + 21u + -21u Combine like terms: 6u + -21u = -15u -26 + -15u = -32 + 21u + -21u Combine like terms: 21u + -21u = 0 -26 + -15u = -32 + 0 -26 + -15u = -32 Add '26' to each side of the equation. -26 + 26 + -15u = -32 + 26 Combine like terms: -26 + 26 = 0 0 + -15u = -32 + 26 -15u = -32 + 26 Combine like terms: -32 + 26 = -6 -15u = -6 Divide each side by '-15'. u = 0.4 Simplifying u = 0.4
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