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Simplifying 4(-2u + 2) = 2[3u + 2(-1u + -7)] Reorder the terms: 4(2 + -2u) = 2[3u + 2(-1u + -7)] (2 * 4 + -2u * 4) = 2[3u + 2(-1u + -7)] (8 + -8u) = 2[3u + 2(-1u + -7)] Reorder the terms: 8 + -8u = 2[3u + 2(-7 + -1u)] 8 + -8u = 2[3u + (-7 * 2 + -1u * 2)] 8 + -8u = 2[3u + (-14 + -2u)] Reorder the terms: 8 + -8u = 2[-14 + 3u + -2u] Combine like terms: 3u + -2u = 1u 8 + -8u = 2[-14 + 1u] 8 + -8u = [-14 * 2 + 1u * 2] 8 + -8u = [-28 + 2u] Solving 8 + -8u = -28 + 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. 8 + -8u + -2u = -28 + 2u + -2u Combine like terms: -8u + -2u = -10u 8 + -10u = -28 + 2u + -2u Combine like terms: 2u + -2u = 0 8 + -10u = -28 + 0 8 + -10u = -28 Add '-8' to each side of the equation. 8 + -8 + -10u = -28 + -8 Combine like terms: 8 + -8 = 0 0 + -10u = -28 + -8 -10u = -28 + -8 Combine like terms: -28 + -8 = -36 -10u = -36 Divide each side by '-10'. u = 3.6 Simplifying u = 3.6
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