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Simplifying w + 71 = 6(3 + -1w) + 7w + 53 Reorder the terms: 71 + w = 6(3 + -1w) + 7w + 53 71 + w = (3 * 6 + -1w * 6) + 7w + 53 71 + w = (18 + -6w) + 7w + 53 Reorder the terms: 71 + w = 18 + 53 + -6w + 7w Combine like terms: 18 + 53 = 71 71 + w = 71 + -6w + 7w Combine like terms: -6w + 7w = 1w 71 + w = 71 + 1w Add '-71' to each side of the equation. 71 + -71 + w = 71 + -71 + 1w Combine like terms: 71 + -71 = 0 0 + w = 71 + -71 + 1w w = 71 + -71 + 1w Combine like terms: 71 + -71 = 0 w = 0 + 1w w = 1w Solving w = 1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. w + -1w = 1w + -1w Combine like terms: w + -1w = 0 0 = 1w + -1w Combine like terms: 1w + -1w = 0 0 = 0 Simplifying 0 = 0 The solution to this equation could not be determined.
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