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Simplifying 2(12 + -1w) = -2(w + -17) + -10 (12 * 2 + -1w * 2) = -2(w + -17) + -10 (24 + -2w) = -2(w + -17) + -10 Reorder the terms: 24 + -2w = -2(-17 + w) + -10 24 + -2w = (-17 * -2 + w * -2) + -10 24 + -2w = (34 + -2w) + -10 Reorder the terms: 24 + -2w = 34 + -10 + -2w Combine like terms: 34 + -10 = 24 24 + -2w = 24 + -2w Add '-24' to each side of the equation. 24 + -24 + -2w = 24 + -24 + -2w Combine like terms: 24 + -24 = 0 0 + -2w = 24 + -24 + -2w -2w = 24 + -24 + -2w Combine like terms: 24 + -24 = 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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