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Simplifying 32 + -4(2w + 1) = 8u + -4(8 + w) Reorder the terms: 32 + -4(1 + 2w) = 8u + -4(8 + w) 32 + (1 * -4 + 2w * -4) = 8u + -4(8 + w) 32 + (-4 + -8w) = 8u + -4(8 + w) Combine like terms: 32 + -4 = 28 28 + -8w = 8u + -4(8 + w) 28 + -8w = 8u + (8 * -4 + w * -4) 28 + -8w = 8u + (-32 + -4w) Reorder the terms: 28 + -8w = -32 + 8u + -4w Solving 28 + -8w = -32 + 8u + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 28 + -8w + 4w = -32 + 8u + -4w + 4w Combine like terms: -8w + 4w = -4w 28 + -4w = -32 + 8u + -4w + 4w Combine like terms: -4w + 4w = 0 28 + -4w = -32 + 8u + 0 28 + -4w = -32 + 8u Add '-28' to each side of the equation. 28 + -28 + -4w = -32 + -28 + 8u Combine like terms: 28 + -28 = 0 0 + -4w = -32 + -28 + 8u -4w = -32 + -28 + 8u Combine like terms: -32 + -28 = -60 -4w = -60 + 8u Divide each side by '-4'. w = 15 + -2u Simplifying w = 15 + -2u
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