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Simplifying 7 = 4w + -5 Reorder the terms: 7 = -5 + 4w Solving 7 = -5 + 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. 7 + -4w = -5 + 4w + -4w Combine like terms: 4w + -4w = 0 7 + -4w = -5 + 0 7 + -4w = -5 Add '-7' to each side of the equation. 7 + -7 + -4w = -5 + -7 Combine like terms: 7 + -7 = 0 0 + -4w = -5 + -7 -4w = -5 + -7 Combine like terms: -5 + -7 = -12 -4w = -12 Divide each side by '-4'. w = 3 Simplifying w = 3
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