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Simplifying 2(w + -4 + 2w + -8) = 66 Reorder the terms: 2(-4 + -8 + w + 2w) = 66 Combine like terms: -4 + -8 = -12 2(-12 + w + 2w) = 66 Combine like terms: w + 2w = 3w 2(-12 + 3w) = 66 (-12 * 2 + 3w * 2) = 66 (-24 + 6w) = 66 Solving -24 + 6w = 66 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 6w = 66 + 24 Combine like terms: -24 + 24 = 0 0 + 6w = 66 + 24 6w = 66 + 24 Combine like terms: 66 + 24 = 90 6w = 90 Divide each side by '6'. w = 15 Simplifying w = 15
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