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Simplifying 3w + 8 + -1w = 4w + -2(w + -4) Reorder the terms: 8 + 3w + -1w = 4w + -2(w + -4) Combine like terms: 3w + -1w = 2w 8 + 2w = 4w + -2(w + -4) Reorder the terms: 8 + 2w = 4w + -2(-4 + w) 8 + 2w = 4w + (-4 * -2 + w * -2) 8 + 2w = 4w + (8 + -2w) Reorder the terms: 8 + 2w = 8 + 4w + -2w Combine like terms: 4w + -2w = 2w 8 + 2w = 8 + 2w Add '-8' to each side of the equation. 8 + -8 + 2w = 8 + -8 + 2w Combine like terms: 8 + -8 = 0 0 + 2w = 8 + -8 + 2w 2w = 8 + -8 + 2w Combine like terms: 8 + -8 = 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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