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Simplifying 7 = 4w + -1 Reorder the terms: 7 = -1 + 4w Solving 7 = -1 + 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 = -1 + 4w + -4w Combine like terms: 4w + -4w = 0 7 + -4w = -1 + 0 7 + -4w = -1 Add '-7' to each side of the equation. 7 + -7 + -4w = -1 + -7 Combine like terms: 7 + -7 = 0 0 + -4w = -1 + -7 -4w = -1 + -7 Combine like terms: -1 + -7 = -8 -4w = -8 Divide each side by '-4'. w = 2 Simplifying w = 2
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