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Simplifying 20 + -10(4 + -2u) = 7(3u + -3) + -3 20 + (4 * -10 + -2u * -10) = 7(3u + -3) + -3 20 + (-40 + 20u) = 7(3u + -3) + -3 Combine like terms: 20 + -40 = -20 -20 + 20u = 7(3u + -3) + -3 Reorder the terms: -20 + 20u = 7(-3 + 3u) + -3 -20 + 20u = (-3 * 7 + 3u * 7) + -3 -20 + 20u = (-21 + 21u) + -3 Reorder the terms: -20 + 20u = -21 + -3 + 21u Combine like terms: -21 + -3 = -24 -20 + 20u = -24 + 21u Solving -20 + 20u = -24 + 21u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-21u' to each side of the equation. -20 + 20u + -21u = -24 + 21u + -21u Combine like terms: 20u + -21u = -1u -20 + -1u = -24 + 21u + -21u Combine like terms: 21u + -21u = 0 -20 + -1u = -24 + 0 -20 + -1u = -24 Add '20' to each side of the equation. -20 + 20 + -1u = -24 + 20 Combine like terms: -20 + 20 = 0 0 + -1u = -24 + 20 -1u = -24 + 20 Combine like terms: -24 + 20 = -4 -1u = -4 Divide each side by '-1'. u = 4 Simplifying u = 4
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