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Simplifying 7w + -5 = 3w + 23 Reorder the terms: -5 + 7w = 3w + 23 Reorder the terms: -5 + 7w = 23 + 3w Solving -5 + 7w = 23 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -5 + 7w + -3w = 23 + 3w + -3w Combine like terms: 7w + -3w = 4w -5 + 4w = 23 + 3w + -3w Combine like terms: 3w + -3w = 0 -5 + 4w = 23 + 0 -5 + 4w = 23 Add '5' to each side of the equation. -5 + 5 + 4w = 23 + 5 Combine like terms: -5 + 5 = 0 0 + 4w = 23 + 5 4w = 23 + 5 Combine like terms: 23 + 5 = 28 4w = 28 Divide each side by '4'. w = 7 Simplifying w = 7
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