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Simplifying 2(5w + -4) = 4w + 64 Reorder the terms: 2(-4 + 5w) = 4w + 64 (-4 * 2 + 5w * 2) = 4w + 64 (-8 + 10w) = 4w + 64 Reorder the terms: -8 + 10w = 64 + 4w Solving -8 + 10w = 64 + 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. -8 + 10w + -4w = 64 + 4w + -4w Combine like terms: 10w + -4w = 6w -8 + 6w = 64 + 4w + -4w Combine like terms: 4w + -4w = 0 -8 + 6w = 64 + 0 -8 + 6w = 64 Add '8' to each side of the equation. -8 + 8 + 6w = 64 + 8 Combine like terms: -8 + 8 = 0 0 + 6w = 64 + 8 6w = 64 + 8 Combine like terms: 64 + 8 = 72 6w = 72 Divide each side by '6'. w = 12 Simplifying w = 12
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