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Simplifying 3(2 + w) + -1w = 4 + 2(w + 1) (2 * 3 + w * 3) + -1w = 4 + 2(w + 1) (6 + 3w) + -1w = 4 + 2(w + 1) Combine like terms: 3w + -1w = 2w 6 + 2w = 4 + 2(w + 1) Reorder the terms: 6 + 2w = 4 + 2(1 + w) 6 + 2w = 4 + (1 * 2 + w * 2) 6 + 2w = 4 + (2 + 2w) Combine like terms: 4 + 2 = 6 6 + 2w = 6 + 2w Add '-6' to each side of the equation. 6 + -6 + 2w = 6 + -6 + 2w Combine like terms: 6 + -6 = 0 0 + 2w = 6 + -6 + 2w 2w = 6 + -6 + 2w Combine like terms: 6 + -6 = 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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