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Simplifying 6 + 5.7w + 15 + -3.3w = 3(7 + 0.8w) Reorder the terms: 6 + 15 + 5.7w + -3.3w = 3(7 + 0.8w) Combine like terms: 6 + 15 = 21 21 + 5.7w + -3.3w = 3(7 + 0.8w) Combine like terms: 5.7w + -3.3w = 2.4w 21 + 2.4w = 3(7 + 0.8w) 21 + 2.4w = (7 * 3 + 0.8w * 3) 21 + 2.4w = (21 + 2.4w) Add '-21' to each side of the equation. 21 + -21 + 2.4w = 21 + -21 + 2.4w Combine like terms: 21 + -21 = 0 0 + 2.4w = 21 + -21 + 2.4w 2.4w = 21 + -21 + 2.4w Combine like terms: 21 + -21 = 0 2.4w = 0 + 2.4w 2.4w = 2.4w Add '-2.4w' to each side of the equation. 2.4w + -2.4w = 2.4w + -2.4w Combine like terms: 2.4w + -2.4w = 0.0 0.0 = 2.4w + -2.4w Combine like terms: 2.4w + -2.4w = 0.0 0.0 = 0.0 Solving 0.0 = 0.0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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