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Simplifying 7 + -2(u + 5) = 4(1 + -3) Reorder the terms: 7 + -2(5 + u) = 4(1 + -3) 7 + (5 * -2 + u * -2) = 4(1 + -3) 7 + (-10 + -2u) = 4(1 + -3) Combine like terms: 7 + -10 = -3 -3 + -2u = 4(1 + -3) Combine like terms: 1 + -3 = -2 -3 + -2u = 4(-2) Multiply 4 * -2 -3 + -2u = -8 Solving -3 + -2u = -8 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -2u = -8 + 3 Combine like terms: -3 + 3 = 0 0 + -2u = -8 + 3 -2u = -8 + 3 Combine like terms: -8 + 3 = -5 -2u = -5 Divide each side by '-2'. u = 2.5 Simplifying u = 2.5
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