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Simplifying 5u + -3 = -7(u + -3) Reorder the terms: -3 + 5u = -7(u + -3) Reorder the terms: -3 + 5u = -7(-3 + u) -3 + 5u = (-3 * -7 + u * -7) -3 + 5u = (21 + -7u) Solving -3 + 5u = 21 + -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. -3 + 5u + 7u = 21 + -7u + 7u Combine like terms: 5u + 7u = 12u -3 + 12u = 21 + -7u + 7u Combine like terms: -7u + 7u = 0 -3 + 12u = 21 + 0 -3 + 12u = 21 Add '3' to each side of the equation. -3 + 3 + 12u = 21 + 3 Combine like terms: -3 + 3 = 0 0 + 12u = 21 + 3 12u = 21 + 3 Combine like terms: 21 + 3 = 24 12u = 24 Divide each side by '12'. u = 2 Simplifying u = 2
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