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Simplifying -6(w + 1) = 2(1 + -3w) + -8 Reorder the terms: -6(1 + w) = 2(1 + -3w) + -8 (1 * -6 + w * -6) = 2(1 + -3w) + -8 (-6 + -6w) = 2(1 + -3w) + -8 -6 + -6w = (1 * 2 + -3w * 2) + -8 -6 + -6w = (2 + -6w) + -8 Reorder the terms: -6 + -6w = 2 + -8 + -6w Combine like terms: 2 + -8 = -6 -6 + -6w = -6 + -6w Add '6' to each side of the equation. -6 + 6 + -6w = -6 + 6 + -6w Combine like terms: -6 + 6 = 0 0 + -6w = -6 + 6 + -6w -6w = -6 + 6 + -6w Combine like terms: -6 + 6 = 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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