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Simplifying 3U + -32 = -2(U + 6) Reorder the terms: -32 + 3U = -2(U + 6) Reorder the terms: -32 + 3U = -2(6 + U) -32 + 3U = (6 * -2 + U * -2) -32 + 3U = (-12 + -2U) Solving -32 + 3U = -12 + -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. -32 + 3U + 2U = -12 + -2U + 2U Combine like terms: 3U + 2U = 5U -32 + 5U = -12 + -2U + 2U Combine like terms: -2U + 2U = 0 -32 + 5U = -12 + 0 -32 + 5U = -12 Add '32' to each side of the equation. -32 + 32 + 5U = -12 + 32 Combine like terms: -32 + 32 = 0 0 + 5U = -12 + 32 5U = -12 + 32 Combine like terms: -12 + 32 = 20 5U = 20 Divide each side by '5'. U = 4 Simplifying U = 4
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