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Simplifying 40 = 4w + -12 Reorder the terms: 40 = -12 + 4w Solving 40 = -12 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 40 + -4w = -12 + 4w + -4w Combine like terms: 4w + -4w = 0 40 + -4w = -12 + 0 40 + -4w = -12 Add '-40' to each side of the equation. 40 + -40 + -4w = -12 + -40 Combine like terms: 40 + -40 = 0 0 + -4w = -12 + -40 -4w = -12 + -40 Combine like terms: -12 + -40 = -52 -4w = -52 Divide each side by '-4'. w = 13 Simplifying w = 13
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