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Simplifying 4w + -2(1 + -1w) = 3(2w + 5) + -17 4w + (1 * -2 + -1w * -2) = 3(2w + 5) + -17 4w + (-2 + 2w) = 3(2w + 5) + -17 Reorder the terms: -2 + 4w + 2w = 3(2w + 5) + -17 Combine like terms: 4w + 2w = 6w -2 + 6w = 3(2w + 5) + -17 Reorder the terms: -2 + 6w = 3(5 + 2w) + -17 -2 + 6w = (5 * 3 + 2w * 3) + -17 -2 + 6w = (15 + 6w) + -17 Reorder the terms: -2 + 6w = 15 + -17 + 6w Combine like terms: 15 + -17 = -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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