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Simplifying -5(-3u + 1) + -7u = 2(u + -8) + -4 Reorder the terms: -5(1 + -3u) + -7u = 2(u + -8) + -4 (1 * -5 + -3u * -5) + -7u = 2(u + -8) + -4 (-5 + 15u) + -7u = 2(u + -8) + -4 Combine like terms: 15u + -7u = 8u -5 + 8u = 2(u + -8) + -4 Reorder the terms: -5 + 8u = 2(-8 + u) + -4 -5 + 8u = (-8 * 2 + u * 2) + -4 -5 + 8u = (-16 + 2u) + -4 Reorder the terms: -5 + 8u = -16 + -4 + 2u Combine like terms: -16 + -4 = -20 -5 + 8u = -20 + 2u Solving -5 + 8u = -20 + 2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-2u' to each side of the equation. -5 + 8u + -2u = -20 + 2u + -2u Combine like terms: 8u + -2u = 6u -5 + 6u = -20 + 2u + -2u Combine like terms: 2u + -2u = 0 -5 + 6u = -20 + 0 -5 + 6u = -20 Add '5' to each side of the equation. -5 + 5 + 6u = -20 + 5 Combine like terms: -5 + 5 = 0 0 + 6u = -20 + 5 6u = -20 + 5 Combine like terms: -20 + 5 = -15 6u = -15 Divide each side by '6'. u = -2.5 Simplifying u = -2.5
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