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