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Simplifying 8(w + -4) = 2w + -8 Reorder the terms: 8(-4 + w) = 2w + -8 (-4 * 8 + w * 8) = 2w + -8 (-32 + 8w) = 2w + -8 Reorder the terms: -32 + 8w = -8 + 2w Solving -32 + 8w = -8 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -32 + 8w + -2w = -8 + 2w + -2w Combine like terms: 8w + -2w = 6w -32 + 6w = -8 + 2w + -2w Combine like terms: 2w + -2w = 0 -32 + 6w = -8 + 0 -32 + 6w = -8 Add '32' to each side of the equation. -32 + 32 + 6w = -8 + 32 Combine like terms: -32 + 32 = 0 0 + 6w = -8 + 32 6w = -8 + 32 Combine like terms: -8 + 32 = 24 6w = 24 Divide each side by '6'. w = 4 Simplifying w = 4
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