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Simplifying -4w + 32 = -6(w + -6) Reorder the terms: 32 + -4w = -6(w + -6) Reorder the terms: 32 + -4w = -6(-6 + w) 32 + -4w = (-6 * -6 + w * -6) 32 + -4w = (36 + -6w) Solving 32 + -4w = 36 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 32 + -4w + 6w = 36 + -6w + 6w Combine like terms: -4w + 6w = 2w 32 + 2w = 36 + -6w + 6w Combine like terms: -6w + 6w = 0 32 + 2w = 36 + 0 32 + 2w = 36 Add '-32' to each side of the equation. 32 + -32 + 2w = 36 + -32 Combine like terms: 32 + -32 = 0 0 + 2w = 36 + -32 2w = 36 + -32 Combine like terms: 36 + -32 = 4 2w = 4 Divide each side by '2'. w = 2 Simplifying w = 2
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