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Simplifying 54 = 2(2w + -3) + 2w Reorder the terms: 54 = 2(-3 + 2w) + 2w 54 = (-3 * 2 + 2w * 2) + 2w 54 = (-6 + 4w) + 2w Combine like terms: 4w + 2w = 6w 54 = -6 + 6w Solving 54 = -6 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 54 + -6w = -6 + 6w + -6w Combine like terms: 6w + -6w = 0 54 + -6w = -6 + 0 54 + -6w = -6 Add '-54' to each side of the equation. 54 + -54 + -6w = -6 + -54 Combine like terms: 54 + -54 = 0 0 + -6w = -6 + -54 -6w = -6 + -54 Combine like terms: -6 + -54 = -60 -6w = -60 Divide each side by '-6'. w = 10 Simplifying w = 10
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