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Simplifying 7w + -1(2 + w) = 2(3w + -1) 7w + (2 * -1 + w * -1) = 2(3w + -1) 7w + (-2 + -1w) = 2(3w + -1) Reorder the terms: -2 + 7w + -1w = 2(3w + -1) Combine like terms: 7w + -1w = 6w -2 + 6w = 2(3w + -1) Reorder the terms: -2 + 6w = 2(-1 + 3w) -2 + 6w = (-1 * 2 + 3w * 2) -2 + 6w = (-2 + 6w) Add '2' to each side of the equation. -2 + 2 + 6w = -2 + 2 + 6w Combine like terms: -2 + 2 = 0 0 + 6w = -2 + 2 + 6w 6w = -2 + 2 + 6w Combine like terms: -2 + 2 = 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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