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Simplifying 5 + -3(u + 5) = 2(-7 + -2u) Reorder the terms: 5 + -3(5 + u) = 2(-7 + -2u) 5 + (5 * -3 + u * -3) = 2(-7 + -2u) 5 + (-15 + -3u) = 2(-7 + -2u) Combine like terms: 5 + -15 = -10 -10 + -3u = 2(-7 + -2u) -10 + -3u = (-7 * 2 + -2u * 2) -10 + -3u = (-14 + -4u) Solving -10 + -3u = -14 + -4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '4u' to each side of the equation. -10 + -3u + 4u = -14 + -4u + 4u Combine like terms: -3u + 4u = 1u -10 + 1u = -14 + -4u + 4u Combine like terms: -4u + 4u = 0 -10 + 1u = -14 + 0 -10 + 1u = -14 Add '10' to each side of the equation. -10 + 10 + 1u = -14 + 10 Combine like terms: -10 + 10 = 0 0 + 1u = -14 + 10 1u = -14 + 10 Combine like terms: -14 + 10 = -4 1u = -4 Divide each side by '1'. u = -4 Simplifying u = -4
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