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Simplifying 5(w + 2) + -3w = 2(w + 5) Reorder the terms: 5(2 + w) + -3w = 2(w + 5) (2 * 5 + w * 5) + -3w = 2(w + 5) (10 + 5w) + -3w = 2(w + 5) Combine like terms: 5w + -3w = 2w 10 + 2w = 2(w + 5) Reorder the terms: 10 + 2w = 2(5 + w) 10 + 2w = (5 * 2 + w * 2) 10 + 2w = (10 + 2w) Add '-10' to each side of the equation. 10 + -10 + 2w = 10 + -10 + 2w Combine like terms: 10 + -10 = 0 0 + 2w = 10 + -10 + 2w 2w = 10 + -10 + 2w Combine like terms: 10 + -10 = 0 2w = 0 + 2w 2w = 2w Add '-2w' to each side of the equation. 2w + -2w = 2w + -2w Combine like terms: 2w + -2w = 0 0 = 2w + -2w Combine like terms: 2w + -2w = 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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