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Simplifying U + -78 = 6U + 12 Reorder the terms: -78 + U = 6U + 12 Reorder the terms: -78 + U = 12 + 6U Solving -78 + U = 12 + 6U Solving for variable 'U'. Move all terms containing U to the left, all other terms to the right. Add '-6U' to each side of the equation. -78 + U + -6U = 12 + 6U + -6U Combine like terms: U + -6U = -5U -78 + -5U = 12 + 6U + -6U Combine like terms: 6U + -6U = 0 -78 + -5U = 12 + 0 -78 + -5U = 12 Add '78' to each side of the equation. -78 + 78 + -5U = 12 + 78 Combine like terms: -78 + 78 = 0 0 + -5U = 12 + 78 -5U = 12 + 78 Combine like terms: 12 + 78 = 90 -5U = 90 Divide each side by '-5'. U = -18 Simplifying U = -18
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