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Simplifying 54 = 2(w * 0.5) + 2w Reorder the terms for easier multiplication: 54 = 2(0.5w) + 2w Remove parenthesis around (0.5w) 54 = 2 * 0.5w + 2w Multiply 2 * 0.5 54 = 1w + 2w Combine like terms: 1w + 2w = 3w 54 = 3w Solving 54 = 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 54 + -3w = 3w + -3w Combine like terms: 3w + -3w = 0 54 + -3w = 0 Add '-54' to each side of the equation. 54 + -54 + -3w = 0 + -54 Combine like terms: 54 + -54 = 0 0 + -3w = 0 + -54 -3w = 0 + -54 Combine like terms: 0 + -54 = -54 -3w = -54 Divide each side by '-3'. w = 18 Simplifying w = 18
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