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Simplifying 8(w + -2) + 10 = 2w + 6(w + -1) Reorder the terms: 8(-2 + w) + 10 = 2w + 6(w + -1) (-2 * 8 + w * 8) + 10 = 2w + 6(w + -1) (-16 + 8w) + 10 = 2w + 6(w + -1) Reorder the terms: -16 + 10 + 8w = 2w + 6(w + -1) Combine like terms: -16 + 10 = -6 -6 + 8w = 2w + 6(w + -1) Reorder the terms: -6 + 8w = 2w + 6(-1 + w) -6 + 8w = 2w + (-1 * 6 + w * 6) -6 + 8w = 2w + (-6 + 6w) Reorder the terms: -6 + 8w = -6 + 2w + 6w Combine like terms: 2w + 6w = 8w -6 + 8w = -6 + 8w Add '6' to each side of the equation. -6 + 6 + 8w = -6 + 6 + 8w Combine like terms: -6 + 6 = 0 0 + 8w = -6 + 6 + 8w 8w = -6 + 6 + 8w Combine like terms: -6 + 6 = 0 8w = 0 + 8w 8w = 8w Add '-8w' to each side of the equation. 8w + -8w = 8w + -8w Combine like terms: 8w + -8w = 0 0 = 8w + -8w Combine like terms: 8w + -8w = 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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