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Simplifying -6 + w = 9 + 4w Solving -6 + w = 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. -6 + w + -4w = 9 + 4w + -4w Combine like terms: w + -4w = -3w -6 + -3w = 9 + 4w + -4w Combine like terms: 4w + -4w = 0 -6 + -3w = 9 + 0 -6 + -3w = 9 Add '6' to each side of the equation. -6 + 6 + -3w = 9 + 6 Combine like terms: -6 + 6 = 0 0 + -3w = 9 + 6 -3w = 9 + 6 Combine like terms: 9 + 6 = 15 -3w = 15 Divide each side by '-3'. w = -5 Simplifying w = -5
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