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Simplifying 2w + 12 = 5w + 27 Reorder the terms: 12 + 2w = 5w + 27 Reorder the terms: 12 + 2w = 27 + 5w Solving 12 + 2w = 27 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 12 + 2w + -5w = 27 + 5w + -5w Combine like terms: 2w + -5w = -3w 12 + -3w = 27 + 5w + -5w Combine like terms: 5w + -5w = 0 12 + -3w = 27 + 0 12 + -3w = 27 Add '-12' to each side of the equation. 12 + -12 + -3w = 27 + -12 Combine like terms: 12 + -12 = 0 0 + -3w = 27 + -12 -3w = 27 + -12 Combine like terms: 27 + -12 = 15 -3w = 15 Divide each side by '-3'. w = -5 Simplifying w = -5
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