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Simplifying -3w + 6 = 2w + -19 Reorder the terms: 6 + -3w = 2w + -19 Reorder the terms: 6 + -3w = -19 + 2w Solving 6 + -3w = -19 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 6 + -3w + -2w = -19 + 2w + -2w Combine like terms: -3w + -2w = -5w 6 + -5w = -19 + 2w + -2w Combine like terms: 2w + -2w = 0 6 + -5w = -19 + 0 6 + -5w = -19 Add '-6' to each side of the equation. 6 + -6 + -5w = -19 + -6 Combine like terms: 6 + -6 = 0 0 + -5w = -19 + -6 -5w = -19 + -6 Combine like terms: -19 + -6 = -25 -5w = -25 Divide each side by '-5'. w = 5 Simplifying w = 5
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