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Simplifying 54 = 2(w + 1.5) + 2w Reorder the terms: 54 = 2(1.5 + w) + 2w 54 = (1.5 * 2 + w * 2) + 2w 54 = (3 + 2w) + 2w Combine like terms: 2w + 2w = 4w 54 = 3 + 4w Solving 54 = 3 + 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. 54 + -4w = 3 + 4w + -4w Combine like terms: 4w + -4w = 0 54 + -4w = 3 + 0 54 + -4w = 3 Add '-54' to each side of the equation. 54 + -54 + -4w = 3 + -54 Combine like terms: 54 + -54 = 0 0 + -4w = 3 + -54 -4w = 3 + -54 Combine like terms: 3 + -54 = -51 -4w = -51 Divide each side by '-4'. w = 12.75 Simplifying w = 12.75
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