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Simplifying -7 = 4w + -9 Reorder the terms: -7 = -9 + 4w Solving -7 = -9 + 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 = -9 + 4w + -4w Combine like terms: 4w + -4w = 0 -7 + -4w = -9 + 0 -7 + -4w = -9 Add '7' to each side of the equation. -7 + 7 + -4w = -9 + 7 Combine like terms: -7 + 7 = 0 0 + -4w = -9 + 7 -4w = -9 + 7 Combine like terms: -9 + 7 = -2 -4w = -2 Divide each side by '-4'. w = 0.5 Simplifying w = 0.5
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