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