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Simplifying 3(w + 4) + 2w = 5w + 12 Reorder the terms: 3(4 + w) + 2w = 5w + 12 (4 * 3 + w * 3) + 2w = 5w + 12 (12 + 3w) + 2w = 5w + 12 Combine like terms: 3w + 2w = 5w 12 + 5w = 5w + 12 Reorder the terms: 12 + 5w = 12 + 5w Add '-12' to each side of the equation. 12 + -12 + 5w = 12 + -12 + 5w Combine like terms: 12 + -12 = 0 0 + 5w = 12 + -12 + 5w 5w = 12 + -12 + 5w Combine like terms: 12 + -12 = 0 5w = 0 + 5w 5w = 5w Add '-5w' to each side of the equation. 5w + -5w = 5w + -5w Combine like terms: 5w + -5w = 0 0 = 5w + -5w Combine like terms: 5w + -5w = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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