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Simplifying -15u + -20u + 4 = -3(12u + -16) + -3u Reorder the terms: 4 + -15u + -20u = -3(12u + -16) + -3u Combine like terms: -15u + -20u = -35u 4 + -35u = -3(12u + -16) + -3u Reorder the terms: 4 + -35u = -3(-16 + 12u) + -3u 4 + -35u = (-16 * -3 + 12u * -3) + -3u 4 + -35u = (48 + -36u) + -3u Combine like terms: -36u + -3u = -39u 4 + -35u = 48 + -39u Solving 4 + -35u = 48 + -39u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '39u' to each side of the equation. 4 + -35u + 39u = 48 + -39u + 39u Combine like terms: -35u + 39u = 4u 4 + 4u = 48 + -39u + 39u Combine like terms: -39u + 39u = 0 4 + 4u = 48 + 0 4 + 4u = 48 Add '-4' to each side of the equation. 4 + -4 + 4u = 48 + -4 Combine like terms: 4 + -4 = 0 0 + 4u = 48 + -4 4u = 48 + -4 Combine like terms: 48 + -4 = 44 4u = 44 Divide each side by '4'. u = 11 Simplifying u = 11
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