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Simplifying 4(u + -4) + -6 = -4(-4u + 8) + -8u Reorder the terms: 4(-4 + u) + -6 = -4(-4u + 8) + -8u (-4 * 4 + u * 4) + -6 = -4(-4u + 8) + -8u (-16 + 4u) + -6 = -4(-4u + 8) + -8u Reorder the terms: -16 + -6 + 4u = -4(-4u + 8) + -8u Combine like terms: -16 + -6 = -22 -22 + 4u = -4(-4u + 8) + -8u Reorder the terms: -22 + 4u = -4(8 + -4u) + -8u -22 + 4u = (8 * -4 + -4u * -4) + -8u -22 + 4u = (-32 + 16u) + -8u Combine like terms: 16u + -8u = 8u -22 + 4u = -32 + 8u Solving -22 + 4u = -32 + 8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-8u' to each side of the equation. -22 + 4u + -8u = -32 + 8u + -8u Combine like terms: 4u + -8u = -4u -22 + -4u = -32 + 8u + -8u Combine like terms: 8u + -8u = 0 -22 + -4u = -32 + 0 -22 + -4u = -32 Add '22' to each side of the equation. -22 + 22 + -4u = -32 + 22 Combine like terms: -22 + 22 = 0 0 + -4u = -32 + 22 -4u = -32 + 22 Combine like terms: -32 + 22 = -10 -4u = -10 Divide each side by '-4'. u = 2.5 Simplifying u = 2.5
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