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Simplifying -36 = 2(w + -4) + -6w Reorder the terms: -36 = 2(-4 + w) + -6w -36 = (-4 * 2 + w * 2) + -6w -36 = (-8 + 2w) + -6w Combine like terms: 2w + -6w = -4w -36 = -8 + -4w Solving -36 = -8 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. -36 + 4w = -8 + -4w + 4w Combine like terms: -4w + 4w = 0 -36 + 4w = -8 + 0 -36 + 4w = -8 Add '36' to each side of the equation. -36 + 36 + 4w = -8 + 36 Combine like terms: -36 + 36 = 0 0 + 4w = -8 + 36 4w = -8 + 36 Combine like terms: -8 + 36 = 28 4w = 28 Divide each side by '4'. w = 7 Simplifying w = 7
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