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Simplifying -36 = 4(w + -6) + -6w Reorder the terms: -36 = 4(-6 + w) + -6w -36 = (-6 * 4 + w * 4) + -6w -36 = (-24 + 4w) + -6w Combine like terms: 4w + -6w = -2w -36 = -24 + -2w Solving -36 = -24 + -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. -36 + 2w = -24 + -2w + 2w Combine like terms: -2w + 2w = 0 -36 + 2w = -24 + 0 -36 + 2w = -24 Add '36' to each side of the equation. -36 + 36 + 2w = -24 + 36 Combine like terms: -36 + 36 = 0 0 + 2w = -24 + 36 2w = -24 + 36 Combine like terms: -24 + 36 = 12 2w = 12 Divide each side by '2'. w = 6 Simplifying w = 6
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