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Simplifying 4(w + -8) = 2w + -26 Reorder the terms: 4(-8 + w) = 2w + -26 (-8 * 4 + w * 4) = 2w + -26 (-32 + 4w) = 2w + -26 Reorder the terms: -32 + 4w = -26 + 2w Solving -32 + 4w = -26 + 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 + 4w + -2w = -26 + 2w + -2w Combine like terms: 4w + -2w = 2w -32 + 2w = -26 + 2w + -2w Combine like terms: 2w + -2w = 0 -32 + 2w = -26 + 0 -32 + 2w = -26 Add '32' to each side of the equation. -32 + 32 + 2w = -26 + 32 Combine like terms: -32 + 32 = 0 0 + 2w = -26 + 32 2w = -26 + 32 Combine like terms: -26 + 32 = 6 2w = 6 Divide each side by '2'. w = 3 Simplifying w = 3
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