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Simplifying 8(-28u + -32) = -32(-5u + -100) Reorder the terms: 8(-32 + -28u) = -32(-5u + -100) (-32 * 8 + -28u * 8) = -32(-5u + -100) (-256 + -224u) = -32(-5u + -100) Reorder the terms: -256 + -224u = -32(-100 + -5u) -256 + -224u = (-100 * -32 + -5u * -32) -256 + -224u = (3200 + 160u) Solving -256 + -224u = 3200 + 160u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-160u' to each side of the equation. -256 + -224u + -160u = 3200 + 160u + -160u Combine like terms: -224u + -160u = -384u -256 + -384u = 3200 + 160u + -160u Combine like terms: 160u + -160u = 0 -256 + -384u = 3200 + 0 -256 + -384u = 3200 Add '256' to each side of the equation. -256 + 256 + -384u = 3200 + 256 Combine like terms: -256 + 256 = 0 0 + -384u = 3200 + 256 -384u = 3200 + 256 Combine like terms: 3200 + 256 = 3456 -384u = 3456 Divide each side by '-384'. u = -9 Simplifying u = -9
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