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Simplifying -4(-8u + 7) + -7u = 7(u + -3) + -3 Reorder the terms: -4(7 + -8u) + -7u = 7(u + -3) + -3 (7 * -4 + -8u * -4) + -7u = 7(u + -3) + -3 (-28 + 32u) + -7u = 7(u + -3) + -3 Combine like terms: 32u + -7u = 25u -28 + 25u = 7(u + -3) + -3 Reorder the terms: -28 + 25u = 7(-3 + u) + -3 -28 + 25u = (-3 * 7 + u * 7) + -3 -28 + 25u = (-21 + 7u) + -3 Reorder the terms: -28 + 25u = -21 + -3 + 7u Combine like terms: -21 + -3 = -24 -28 + 25u = -24 + 7u Solving -28 + 25u = -24 + 7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-7u' to each side of the equation. -28 + 25u + -7u = -24 + 7u + -7u Combine like terms: 25u + -7u = 18u -28 + 18u = -24 + 7u + -7u Combine like terms: 7u + -7u = 0 -28 + 18u = -24 + 0 -28 + 18u = -24 Add '28' to each side of the equation. -28 + 28 + 18u = -24 + 28 Combine like terms: -28 + 28 = 0 0 + 18u = -24 + 28 18u = -24 + 28 Combine like terms: -24 + 28 = 4 18u = 4 Divide each side by '18'. u = 0.2222222222 Simplifying u = 0.2222222222
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