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Simplifying -2(-3u + 8) + -9u = 7(u + -4) + -4 Reorder the terms: -2(8 + -3u) + -9u = 7(u + -4) + -4 (8 * -2 + -3u * -2) + -9u = 7(u + -4) + -4 (-16 + 6u) + -9u = 7(u + -4) + -4 Combine like terms: 6u + -9u = -3u -16 + -3u = 7(u + -4) + -4 Reorder the terms: -16 + -3u = 7(-4 + u) + -4 -16 + -3u = (-4 * 7 + u * 7) + -4 -16 + -3u = (-28 + 7u) + -4 Reorder the terms: -16 + -3u = -28 + -4 + 7u Combine like terms: -28 + -4 = -32 -16 + -3u = -32 + 7u Solving -16 + -3u = -32 + 7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-7u' to each side of the equation. -16 + -3u + -7u = -32 + 7u + -7u Combine like terms: -3u + -7u = -10u -16 + -10u = -32 + 7u + -7u Combine like terms: 7u + -7u = 0 -16 + -10u = -32 + 0 -16 + -10u = -32 Add '16' to each side of the equation. -16 + 16 + -10u = -32 + 16 Combine like terms: -16 + 16 = 0 0 + -10u = -32 + 16 -10u = -32 + 16 Combine like terms: -32 + 16 = -16 -10u = -16 Divide each side by '-10'. u = 1.6 Simplifying u = 1.6
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