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Simplifying 3(w + 3) + 5 = 6 + 3w + 8 Reorder the terms: 3(3 + w) + 5 = 6 + 3w + 8 (3 * 3 + w * 3) + 5 = 6 + 3w + 8 (9 + 3w) + 5 = 6 + 3w + 8 Reorder the terms: 9 + 5 + 3w = 6 + 3w + 8 Combine like terms: 9 + 5 = 14 14 + 3w = 6 + 3w + 8 Reorder the terms: 14 + 3w = 6 + 8 + 3w Combine like terms: 6 + 8 = 14 14 + 3w = 14 + 3w Add '-14' to each side of the equation. 14 + -14 + 3w = 14 + -14 + 3w Combine like terms: 14 + -14 = 0 0 + 3w = 14 + -14 + 3w 3w = 14 + -14 + 3w Combine like terms: 14 + -14 = 0 3w = 0 + 3w 3w = 3w Add '-3w' to each side of the equation. 3w + -3w = 3w + -3w Combine like terms: 3w + -3w = 0 0 = 3w + -3w Combine like terms: 3w + -3w = 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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