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Simplifying U + -4 + 5(2u + 1) = -5(u + 1) Reorder the terms: U + -4 + 5(1 + 2u) = -5(u + 1) U + -4 + (1 * 5 + 2u * 5) = -5(u + 1) U + -4 + (5 + 10u) = -5(u + 1) Reorder the terms: -4 + 5 + U + 10u = -5(u + 1) Combine like terms: -4 + 5 = 1 1 + U + 10u = -5(u + 1) Reorder the terms: 1 + U + 10u = -5(1 + u) 1 + U + 10u = (1 * -5 + u * -5) 1 + U + 10u = (-5 + -5u) Solving 1 + U + 10u = -5 + -5u Solving for variable 'U'. Move all terms containing U to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + U + -1 + 10u = -5 + -1 + -5u Reorder the terms: 1 + -1 + U + 10u = -5 + -1 + -5u Combine like terms: 1 + -1 = 0 0 + U + 10u = -5 + -1 + -5u U + 10u = -5 + -1 + -5u Combine like terms: -5 + -1 = -6 U + 10u = -6 + -5u Add '-10u' to each side of the equation. U + 10u + -10u = -6 + -5u + -10u Combine like terms: 10u + -10u = 0 U + 0 = -6 + -5u + -10u U = -6 + -5u + -10u Combine like terms: -5u + -10u = -15u U = -6 + -15u Simplifying U = -6 + -15u
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