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Simplifying 8 + 5w + -1w = 6w + -2(w + -4) Combine like terms: 5w + -1w = 4w 8 + 4w = 6w + -2(w + -4) Reorder the terms: 8 + 4w = 6w + -2(-4 + w) 8 + 4w = 6w + (-4 * -2 + w * -2) 8 + 4w = 6w + (8 + -2w) Reorder the terms: 8 + 4w = 8 + 6w + -2w Combine like terms: 6w + -2w = 4w 8 + 4w = 8 + 4w Add '-8' to each side of the equation. 8 + -8 + 4w = 8 + -8 + 4w Combine like terms: 8 + -8 = 0 0 + 4w = 8 + -8 + 4w 4w = 8 + -8 + 4w Combine like terms: 8 + -8 = 0 4w = 0 + 4w 4w = 4w Add '-4w' to each side of the equation. 4w + -4w = 4w + -4w Combine like terms: 4w + -4w = 0 0 = 4w + -4w Combine like terms: 4w + -4w = 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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