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Simplifying 3w + 6 + -1w = 4w + -2(w + -3) Reorder the terms: 6 + 3w + -1w = 4w + -2(w + -3) Combine like terms: 3w + -1w = 2w 6 + 2w = 4w + -2(w + -3) Reorder the terms: 6 + 2w = 4w + -2(-3 + w) 6 + 2w = 4w + (-3 * -2 + w * -2) 6 + 2w = 4w + (6 + -2w) Reorder the terms: 6 + 2w = 6 + 4w + -2w Combine like terms: 4w + -2w = 2w 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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