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Simplifying -32 = 2(w + -4) + -6w Reorder the terms: -32 = 2(-4 + w) + -6w -32 = (-4 * 2 + w * 2) + -6w -32 = (-8 + 2w) + -6w Combine like terms: 2w + -6w = -4w -32 = -8 + -4w Solving -32 = -8 + -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. -32 + 4w = -8 + -4w + 4w Combine like terms: -4w + 4w = 0 -32 + 4w = -8 + 0 -32 + 4w = -8 Add '32' to each side of the equation. -32 + 32 + 4w = -8 + 32 Combine like terms: -32 + 32 = 0 0 + 4w = -8 + 32 4w = -8 + 32 Combine like terms: -8 + 32 = 24 4w = 24 Divide each side by '4'. w = 6 Simplifying w = 6
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