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Simplifying 6w + 36 = 24w + -72 Reorder the terms: 36 + 6w = 24w + -72 Reorder the terms: 36 + 6w = -72 + 24w Solving 36 + 6w = -72 + 24w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-24w' to each side of the equation. 36 + 6w + -24w = -72 + 24w + -24w Combine like terms: 6w + -24w = -18w 36 + -18w = -72 + 24w + -24w Combine like terms: 24w + -24w = 0 36 + -18w = -72 + 0 36 + -18w = -72 Add '-36' to each side of the equation. 36 + -36 + -18w = -72 + -36 Combine like terms: 36 + -36 = 0 0 + -18w = -72 + -36 -18w = -72 + -36 Combine like terms: -72 + -36 = -108 -18w = -108 Divide each side by '-18'. w = 6 Simplifying w = 6
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