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Simplifying -3(5u + -1) + 9U = 7 + 2(4u + -3) Reorder the terms: -3(-1 + 5u) + 9U = 7 + 2(4u + -3) (-1 * -3 + 5u * -3) + 9U = 7 + 2(4u + -3) (3 + -15u) + 9U = 7 + 2(4u + -3) Reorder the terms: 3 + 9U + -15u = 7 + 2(4u + -3) Reorder the terms: 3 + 9U + -15u = 7 + 2(-3 + 4u) 3 + 9U + -15u = 7 + (-3 * 2 + 4u * 2) 3 + 9U + -15u = 7 + (-6 + 8u) Combine like terms: 7 + -6 = 1 3 + 9U + -15u = 1 + 8u Solving 3 + 9U + -15u = 1 + 8u 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 + 9U + -3 + -15u = 1 + -3 + 8u Reorder the terms: 3 + -3 + 9U + -15u = 1 + -3 + 8u Combine like terms: 3 + -3 = 0 0 + 9U + -15u = 1 + -3 + 8u 9U + -15u = 1 + -3 + 8u Combine like terms: 1 + -3 = -2 9U + -15u = -2 + 8u Add '15u' to each side of the equation. 9U + -15u + 15u = -2 + 8u + 15u Combine like terms: -15u + 15u = 0 9U + 0 = -2 + 8u + 15u 9U = -2 + 8u + 15u Combine like terms: 8u + 15u = 23u 9U = -2 + 23u Divide each side by '9'. U = -0.2222222222 + 2.555555556u Simplifying U = -0.2222222222 + 2.555555556u
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