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Simplifying 7w + -40 = 3w Reorder the terms: -40 + 7w = 3w Solving -40 + 7w = 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. -40 + 7w + -3w = 3w + -3w Combine like terms: 7w + -3w = 4w -40 + 4w = 3w + -3w Combine like terms: 3w + -3w = 0 -40 + 4w = 0 Add '40' to each side of the equation. -40 + 40 + 4w = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 4w = 0 + 40 4w = 0 + 40 Combine like terms: 0 + 40 = 40 4w = 40 Divide each side by '4'. w = 10 Simplifying w = 10
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