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Simplifying -31 + -4u = -5 + -5(1 + 5u) -31 + -4u = -5 + (1 * -5 + 5u * -5) -31 + -4u = -5 + (-5 + -25u) Combine like terms: -5 + -5 = -10 -31 + -4u = -10 + -25u Solving -31 + -4u = -10 + -25u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '25u' to each side of the equation. -31 + -4u + 25u = -10 + -25u + 25u Combine like terms: -4u + 25u = 21u -31 + 21u = -10 + -25u + 25u Combine like terms: -25u + 25u = 0 -31 + 21u = -10 + 0 -31 + 21u = -10 Add '31' to each side of the equation. -31 + 31 + 21u = -10 + 31 Combine like terms: -31 + 31 = 0 0 + 21u = -10 + 31 21u = -10 + 31 Combine like terms: -10 + 31 = 21 21u = 21 Divide each side by '21'. u = 1 Simplifying u = 1
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