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Simplifying 24 = 2(w + 6) + 2x Reorder the terms: 24 = 2(6 + w) + 2x 24 = (6 * 2 + w * 2) + 2x 24 = (12 + 2w) + 2x Solving 24 = 12 + 2w + 2x 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 = 12 + 2w + -2w + 2x Combine like terms: 2w + -2w = 0 24 + -2w = 12 + 0 + 2x 24 + -2w = 12 + 2x Add '-24' to each side of the equation. 24 + -24 + -2w = 12 + -24 + 2x Combine like terms: 24 + -24 = 0 0 + -2w = 12 + -24 + 2x -2w = 12 + -24 + 2x Combine like terms: 12 + -24 = -12 -2w = -12 + 2x Divide each side by '-2'. w = 6 + -1x Simplifying w = 6 + -1x
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