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Simplifying -4(-6u + 4) + -8u = 4(u + -1) + -9 Reorder the terms: -4(4 + -6u) + -8u = 4(u + -1) + -9 (4 * -4 + -6u * -4) + -8u = 4(u + -1) + -9 (-16 + 24u) + -8u = 4(u + -1) + -9 Combine like terms: 24u + -8u = 16u -16 + 16u = 4(u + -1) + -9 Reorder the terms: -16 + 16u = 4(-1 + u) + -9 -16 + 16u = (-1 * 4 + u * 4) + -9 -16 + 16u = (-4 + 4u) + -9 Reorder the terms: -16 + 16u = -4 + -9 + 4u Combine like terms: -4 + -9 = -13 -16 + 16u = -13 + 4u Solving -16 + 16u = -13 + 4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-4u' to each side of the equation. -16 + 16u + -4u = -13 + 4u + -4u Combine like terms: 16u + -4u = 12u -16 + 12u = -13 + 4u + -4u Combine like terms: 4u + -4u = 0 -16 + 12u = -13 + 0 -16 + 12u = -13 Add '16' to each side of the equation. -16 + 16 + 12u = -13 + 16 Combine like terms: -16 + 16 = 0 0 + 12u = -13 + 16 12u = -13 + 16 Combine like terms: -13 + 16 = 3 12u = 3 Divide each side by '12'. u = 0.25 Simplifying u = 0.25
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