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Simplifying 4 + -1(2u + 2) = 2[3u + 2(-1u + -7)] Reorder the terms: 4 + -1(2 + 2u) = 2[3u + 2(-1u + -7)] 4 + (2 * -1 + 2u * -1) = 2[3u + 2(-1u + -7)] 4 + (-2 + -2u) = 2[3u + 2(-1u + -7)] Combine like terms: 4 + -2 = 2 2 + -2u = 2[3u + 2(-1u + -7)] Reorder the terms: 2 + -2u = 2[3u + 2(-7 + -1u)] 2 + -2u = 2[3u + (-7 * 2 + -1u * 2)] 2 + -2u = 2[3u + (-14 + -2u)] Reorder the terms: 2 + -2u = 2[-14 + 3u + -2u] Combine like terms: 3u + -2u = 1u 2 + -2u = 2[-14 + 1u] 2 + -2u = [-14 * 2 + 1u * 2] 2 + -2u = [-28 + 2u] Solving 2 + -2u = -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. 2 + -2u + -2u = -28 + 2u + -2u Combine like terms: -2u + -2u = -4u 2 + -4u = -28 + 2u + -2u Combine like terms: 2u + -2u = 0 2 + -4u = -28 + 0 2 + -4u = -28 Add '-2' to each side of the equation. 2 + -2 + -4u = -28 + -2 Combine like terms: 2 + -2 = 0 0 + -4u = -28 + -2 -4u = -28 + -2 Combine like terms: -28 + -2 = -30 -4u = -30 Divide each side by '-4'. u = 7.5 Simplifying u = 7.5
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