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Simplifying -7w + 23 = -6w + 22 Reorder the terms: 23 + -7w = -6w + 22 Reorder the terms: 23 + -7w = 22 + -6w Solving 23 + -7w = 22 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 23 + -7w + 6w = 22 + -6w + 6w Combine like terms: -7w + 6w = -1w 23 + -1w = 22 + -6w + 6w Combine like terms: -6w + 6w = 0 23 + -1w = 22 + 0 23 + -1w = 22 Add '-23' to each side of the equation. 23 + -23 + -1w = 22 + -23 Combine like terms: 23 + -23 = 0 0 + -1w = 22 + -23 -1w = 22 + -23 Combine like terms: 22 + -23 = -1 -1w = -1 Divide each side by '-1'. w = 1 Simplifying w = 1
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