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Simplifying -2u + -31 = -7(u + 3) Reorder the terms: -31 + -2u = -7(u + 3) Reorder the terms: -31 + -2u = -7(3 + u) -31 + -2u = (3 * -7 + u * -7) -31 + -2u = (-21 + -7u) Solving -31 + -2u = -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. -31 + -2u + 7u = -21 + -7u + 7u Combine like terms: -2u + 7u = 5u -31 + 5u = -21 + -7u + 7u Combine like terms: -7u + 7u = 0 -31 + 5u = -21 + 0 -31 + 5u = -21 Add '31' to each side of the equation. -31 + 31 + 5u = -21 + 31 Combine like terms: -31 + 31 = 0 0 + 5u = -21 + 31 5u = -21 + 31 Combine like terms: -21 + 31 = 10 5u = 10 Divide each side by '5'. u = 2 Simplifying u = 2
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