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Simplifying 4(w + 1) + w = 5(w + -1) + 9 Reorder the terms: 4(1 + w) + w = 5(w + -1) + 9 (1 * 4 + w * 4) + w = 5(w + -1) + 9 (4 + 4w) + w = 5(w + -1) + 9 Combine like terms: 4w + w = 5w 4 + 5w = 5(w + -1) + 9 Reorder the terms: 4 + 5w = 5(-1 + w) + 9 4 + 5w = (-1 * 5 + w * 5) + 9 4 + 5w = (-5 + 5w) + 9 Reorder the terms: 4 + 5w = -5 + 9 + 5w Combine like terms: -5 + 9 = 4 4 + 5w = 4 + 5w Add '-4' to each side of the equation. 4 + -4 + 5w = 4 + -4 + 5w Combine like terms: 4 + -4 = 0 0 + 5w = 4 + -4 + 5w 5w = 4 + -4 + 5w Combine like terms: 4 + -4 = 0 5w = 0 + 5w 5w = 5w Add '-5w' to each side of the equation. 5w + -5w = 5w + -5w Combine like terms: 5w + -5w = 0 0 = 5w + -5w Combine like terms: 5w + -5w = 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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