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Simplifying -8 + 7w + 5w + -18w + -12 = 15w + -21 + -21w + -14 + 15 Reorder the terms: -8 + -12 + 7w + 5w + -18w = 15w + -21 + -21w + -14 + 15 Combine like terms: -8 + -12 = -20 -20 + 7w + 5w + -18w = 15w + -21 + -21w + -14 + 15 Combine like terms: 7w + 5w = 12w -20 + 12w + -18w = 15w + -21 + -21w + -14 + 15 Combine like terms: 12w + -18w = -6w -20 + -6w = 15w + -21 + -21w + -14 + 15 Reorder the terms: -20 + -6w = -21 + -14 + 15 + 15w + -21w Combine like terms: -21 + -14 = -35 -20 + -6w = -35 + 15 + 15w + -21w Combine like terms: -35 + 15 = -20 -20 + -6w = -20 + 15w + -21w Combine like terms: 15w + -21w = -6w -20 + -6w = -20 + -6w Add '20' to each side of the equation. -20 + 20 + -6w = -20 + 20 + -6w Combine like terms: -20 + 20 = 0 0 + -6w = -20 + 20 + -6w -6w = -20 + 20 + -6w Combine like terms: -20 + 20 = 0 -6w = 0 + -6w -6w = -6w Add '6w' to each side of the equation. -6w + 6w = -6w + 6w Combine like terms: -6w + 6w = 0 0 = -6w + 6w Combine like terms: -6w + 6w = 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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