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Simplifying 3(w + 2) + -1(12 + -1w) = 4w + -6 Reorder the terms: 3(2 + w) + -1(12 + -1w) = 4w + -6 (2 * 3 + w * 3) + -1(12 + -1w) = 4w + -6 (6 + 3w) + -1(12 + -1w) = 4w + -6 6 + 3w + (12 * -1 + -1w * -1) = 4w + -6 6 + 3w + (-12 + 1w) = 4w + -6 Reorder the terms: 6 + -12 + 3w + 1w = 4w + -6 Combine like terms: 6 + -12 = -6 -6 + 3w + 1w = 4w + -6 Combine like terms: 3w + 1w = 4w -6 + 4w = 4w + -6 Reorder the terms: -6 + 4w = -6 + 4w Add '6' to each side of the equation. -6 + 6 + 4w = -6 + 6 + 4w Combine like terms: -6 + 6 = 0 0 + 4w = -6 + 6 + 4w 4w = -6 + 6 + 4w Combine like terms: -6 + 6 = 0 4w = 0 + 4w 4w = 4w Add '-4w' to each side of the equation. 4w + -4w = 4w + -4w Combine like terms: 4w + -4w = 0 0 = 4w + -4w Combine like terms: 4w + -4w = 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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