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Simplifying 3(w + -2) + -5w = -2(w + 3) Reorder the terms: 3(-2 + w) + -5w = -2(w + 3) (-2 * 3 + w * 3) + -5w = -2(w + 3) (-6 + 3w) + -5w = -2(w + 3) Combine like terms: 3w + -5w = -2w -6 + -2w = -2(w + 3) Reorder the terms: -6 + -2w = -2(3 + w) -6 + -2w = (3 * -2 + w * -2) -6 + -2w = (-6 + -2w) Add '6' to each side of the equation. -6 + 6 + -2w = -6 + 6 + -2w Combine like terms: -6 + 6 = 0 0 + -2w = -6 + 6 + -2w -2w = -6 + 6 + -2w Combine like terms: -6 + 6 = 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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