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Simplifying -19 + 5 = 3w + 4w Combine like terms: -19 + 5 = -14 -14 = 3w + 4w Combine like terms: 3w + 4w = 7w -14 = 7w Solving -14 = 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -14 + -7w = 7w + -7w Combine like terms: 7w + -7w = 0 -14 + -7w = 0 Add '14' to each side of the equation. -14 + 14 + -7w = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -7w = 0 + 14 -7w = 0 + 14 Combine like terms: 0 + 14 = 14 -7w = 14 Divide each side by '-7'. w = -2 Simplifying w = -2
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