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Simplifying 4u + 2[4 + -2(u + 2)] = 2u + -4 Reorder the terms: 4u + 2[4 + -2(2 + u)] = 2u + -4 4u + 2[4 + (2 * -2 + u * -2)] = 2u + -4 4u + 2[4 + (-4 + -2u)] = 2u + -4 Combine like terms: 4 + -4 = 0 4u + 2[0 + -2u] = 2u + -4 4u + 2[-2u] = 2u + -4 Remove brackets around [-2u] 4u + 2 * -2u = 2u + -4 Multiply 2 * -2 4u + -4u = 2u + -4 Combine like terms: 4u + -4u = 0 0 = 2u + -4 Reorder the terms: 0 = -4 + 2u Solving 0 = -4 + 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. 0 + -2u = -4 + 2u + -2u Remove the zero: -2u = -4 + 2u + -2u Combine like terms: 2u + -2u = 0 -2u = -4 + 0 -2u = -4 Divide each side by '-2'. u = 2 Simplifying u = 2
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