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Simplifying -4U + 2 = 6(U + -8) Reorder the terms: 2 + -4U = 6(U + -8) Reorder the terms: 2 + -4U = 6(-8 + U) 2 + -4U = (-8 * 6 + U * 6) 2 + -4U = (-48 + 6U) Solving 2 + -4U = -48 + 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. 2 + -4U + -6U = -48 + 6U + -6U Combine like terms: -4U + -6U = -10U 2 + -10U = -48 + 6U + -6U Combine like terms: 6U + -6U = 0 2 + -10U = -48 + 0 2 + -10U = -48 Add '-2' to each side of the equation. 2 + -2 + -10U = -48 + -2 Combine like terms: 2 + -2 = 0 0 + -10U = -48 + -2 -10U = -48 + -2 Combine like terms: -48 + -2 = -50 -10U = -50 Divide each side by '-10'. U = 5 Simplifying U = 5
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