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Simplifying 5(U + 2) + -8V = -2 Reorder the terms: 5(2 + U) + -8V = -2 (2 * 5 + U * 5) + -8V = -2 (10 + 5U) + -8V = -2 Solving 10 + 5U + -8V = -2 Solving for variable 'U'. Move all terms containing U to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 5U + -10 + -8V = -2 + -10 Reorder the terms: 10 + -10 + 5U + -8V = -2 + -10 Combine like terms: 10 + -10 = 0 0 + 5U + -8V = -2 + -10 5U + -8V = -2 + -10 Combine like terms: -2 + -10 = -12 5U + -8V = -12 Add '8V' to each side of the equation. 5U + -8V + 8V = -12 + 8V Combine like terms: -8V + 8V = 0 5U + 0 = -12 + 8V 5U = -12 + 8V Divide each side by '5'. U = -2.4 + 1.6V Simplifying U = -2.4 + 1.6V
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