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Simplifying -4(-4u + 7) + -3u = 4(u + -2) + -8 Reorder the terms: -4(7 + -4u) + -3u = 4(u + -2) + -8 (7 * -4 + -4u * -4) + -3u = 4(u + -2) + -8 (-28 + 16u) + -3u = 4(u + -2) + -8 Combine like terms: 16u + -3u = 13u -28 + 13u = 4(u + -2) + -8 Reorder the terms: -28 + 13u = 4(-2 + u) + -8 -28 + 13u = (-2 * 4 + u * 4) + -8 -28 + 13u = (-8 + 4u) + -8 Reorder the terms: -28 + 13u = -8 + -8 + 4u Combine like terms: -8 + -8 = -16 -28 + 13u = -16 + 4u Solving -28 + 13u = -16 + 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. -28 + 13u + -4u = -16 + 4u + -4u Combine like terms: 13u + -4u = 9u -28 + 9u = -16 + 4u + -4u Combine like terms: 4u + -4u = 0 -28 + 9u = -16 + 0 -28 + 9u = -16 Add '28' to each side of the equation. -28 + 28 + 9u = -16 + 28 Combine like terms: -28 + 28 = 0 0 + 9u = -16 + 28 9u = -16 + 28 Combine like terms: -16 + 28 = 12 9u = 12 Divide each side by '9'. u = 1.333333333 Simplifying u = 1.333333333
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