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Simplifying -4(w + 1) + 6w = 2(w + 2) + -8 Reorder the terms: -4(1 + w) + 6w = 2(w + 2) + -8 (1 * -4 + w * -4) + 6w = 2(w + 2) + -8 (-4 + -4w) + 6w = 2(w + 2) + -8 Combine like terms: -4w + 6w = 2w -4 + 2w = 2(w + 2) + -8 Reorder the terms: -4 + 2w = 2(2 + w) + -8 -4 + 2w = (2 * 2 + w * 2) + -8 -4 + 2w = (4 + 2w) + -8 Reorder the terms: -4 + 2w = 4 + -8 + 2w Combine like terms: 4 + -8 = -4 -4 + 2w = -4 + 2w Add '4' to each side of the equation. -4 + 4 + 2w = -4 + 4 + 2w Combine like terms: -4 + 4 = 0 0 + 2w = -4 + 4 + 2w 2w = -4 + 4 + 2w Combine like terms: -4 + 4 = 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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