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Simplifying w + (12 + w) = 7w Remove parenthesis around (12 + w) w + 12 + w = 7w Reorder the terms: 12 + w + w = 7w Combine like terms: w + w = 2w 12 + 2w = 7w Solving 12 + 2w = 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 12 + 2w + -7w = 7w + -7w Combine like terms: 2w + -7w = -5w 12 + -5w = 7w + -7w Combine like terms: 7w + -7w = 0 12 + -5w = 0 Add '-12' to each side of the equation. 12 + -12 + -5w = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -5w = 0 + -12 -5w = 0 + -12 Combine like terms: 0 + -12 = -12 -5w = -12 Divide each side by '-5'. w = 2.4 Simplifying w = 2.4
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