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Simplifying 7w + -4 = 3w + 5 Reorder the terms: -4 + 7w = 3w + 5 Reorder the terms: -4 + 7w = 5 + 3w Solving -4 + 7w = 5 + 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. -4 + 7w + -3w = 5 + 3w + -3w Combine like terms: 7w + -3w = 4w -4 + 4w = 5 + 3w + -3w Combine like terms: 3w + -3w = 0 -4 + 4w = 5 + 0 -4 + 4w = 5 Add '4' to each side of the equation. -4 + 4 + 4w = 5 + 4 Combine like terms: -4 + 4 = 0 0 + 4w = 5 + 4 4w = 5 + 4 Combine like terms: 5 + 4 = 9 4w = 9 Divide each side by '4'. w = 2.25 Simplifying w = 2.25
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