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Simplifying -36 = -4w + 6(w + -4) Reorder the terms: -36 = -4w + 6(-4 + w) -36 = -4w + (-4 * 6 + w * 6) -36 = -4w + (-24 + 6w) Reorder the terms: -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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