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Simplifying 6(u + -4) + -8 = -3(-6u + 6) + -4u Reorder the terms: 6(-4 + u) + -8 = -3(-6u + 6) + -4u (-4 * 6 + u * 6) + -8 = -3(-6u + 6) + -4u (-24 + 6u) + -8 = -3(-6u + 6) + -4u Reorder the terms: -24 + -8 + 6u = -3(-6u + 6) + -4u Combine like terms: -24 + -8 = -32 -32 + 6u = -3(-6u + 6) + -4u Reorder the terms: -32 + 6u = -3(6 + -6u) + -4u -32 + 6u = (6 * -3 + -6u * -3) + -4u -32 + 6u = (-18 + 18u) + -4u Combine like terms: 18u + -4u = 14u -32 + 6u = -18 + 14u Solving -32 + 6u = -18 + 14u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-14u' to each side of the equation. -32 + 6u + -14u = -18 + 14u + -14u Combine like terms: 6u + -14u = -8u -32 + -8u = -18 + 14u + -14u Combine like terms: 14u + -14u = 0 -32 + -8u = -18 + 0 -32 + -8u = -18 Add '32' to each side of the equation. -32 + 32 + -8u = -18 + 32 Combine like terms: -32 + 32 = 0 0 + -8u = -18 + 32 -8u = -18 + 32 Combine like terms: -18 + 32 = 14 -8u = 14 Divide each side by '-8'. u = -1.75 Simplifying u = -1.75
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