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Simplifying -32 = 4(w + -5) + -6w Reorder the terms: -32 = 4(-5 + w) + -6w -32 = (-5 * 4 + w * 4) + -6w -32 = (-20 + 4w) + -6w Combine like terms: 4w + -6w = -2w -32 = -20 + -2w Solving -32 = -20 + -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 + 2w = -20 + -2w + 2w Combine like terms: -2w + 2w = 0 -32 + 2w = -20 + 0 -32 + 2w = -20 Add '32' to each side of the equation. -32 + 32 + 2w = -20 + 32 Combine like terms: -32 + 32 = 0 0 + 2w = -20 + 32 2w = -20 + 32 Combine like terms: -20 + 32 = 12 2w = 12 Divide each side by '2'. w = 6 Simplifying w = 6
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