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Simplifying 3(4u + -4) = 5[-2u + 2(-1u + -3)] Reorder the terms: 3(-4 + 4u) = 5[-2u + 2(-1u + -3)] (-4 * 3 + 4u * 3) = 5[-2u + 2(-1u + -3)] (-12 + 12u) = 5[-2u + 2(-1u + -3)] Reorder the terms: -12 + 12u = 5[-2u + 2(-3 + -1u)] -12 + 12u = 5[-2u + (-3 * 2 + -1u * 2)] -12 + 12u = 5[-2u + (-6 + -2u)] Reorder the terms: -12 + 12u = 5[-6 + -2u + -2u] Combine like terms: -2u + -2u = -4u -12 + 12u = 5[-6 + -4u] -12 + 12u = [-6 * 5 + -4u * 5] -12 + 12u = [-30 + -20u] Solving -12 + 12u = -30 + -20u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '20u' to each side of the equation. -12 + 12u + 20u = -30 + -20u + 20u Combine like terms: 12u + 20u = 32u -12 + 32u = -30 + -20u + 20u Combine like terms: -20u + 20u = 0 -12 + 32u = -30 + 0 -12 + 32u = -30 Add '12' to each side of the equation. -12 + 12 + 32u = -30 + 12 Combine like terms: -12 + 12 = 0 0 + 32u = -30 + 12 32u = -30 + 12 Combine like terms: -30 + 12 = -18 32u = -18 Divide each side by '32'. u = -0.5625 Simplifying u = -0.5625
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