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Simplifying 3(w + -1) + 9 = 8w + 6 + -5w Reorder the terms: 3(-1 + w) + 9 = 8w + 6 + -5w (-1 * 3 + w * 3) + 9 = 8w + 6 + -5w (-3 + 3w) + 9 = 8w + 6 + -5w Reorder the terms: -3 + 9 + 3w = 8w + 6 + -5w Combine like terms: -3 + 9 = 6 6 + 3w = 8w + 6 + -5w Reorder the terms: 6 + 3w = 6 + 8w + -5w Combine like terms: 8w + -5w = 3w 6 + 3w = 6 + 3w Add '-6' to each side of the equation. 6 + -6 + 3w = 6 + -6 + 3w Combine like terms: 6 + -6 = 0 0 + 3w = 6 + -6 + 3w 3w = 6 + -6 + 3w Combine like terms: 6 + -6 = 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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