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Simplifying 8w + 12 + -6w = 4(w + 3) + -2w Reorder the terms: 12 + 8w + -6w = 4(w + 3) + -2w Combine like terms: 8w + -6w = 2w 12 + 2w = 4(w + 3) + -2w Reorder the terms: 12 + 2w = 4(3 + w) + -2w 12 + 2w = (3 * 4 + w * 4) + -2w 12 + 2w = (12 + 4w) + -2w Combine like terms: 4w + -2w = 2w 12 + 2w = 12 + 2w Add '-12' to each side of the equation. 12 + -12 + 2w = 12 + -12 + 2w Combine like terms: 12 + -12 = 0 0 + 2w = 12 + -12 + 2w 2w = 12 + -12 + 2w Combine like terms: 12 + -12 = 0 2w = 0 + 2w 2w = 2w Add '-2w' to each side of the equation. 2w + -2w = 2w + -2w Combine like terms: 2w + -2w = 0 0 = 2w + -2w Combine like terms: 2w + -2w = 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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