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Simplifying -3w + -9 = 2w + -14 Reorder the terms: -9 + -3w = 2w + -14 Reorder the terms: -9 + -3w = -14 + 2w Solving -9 + -3w = -14 + 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. -9 + -3w + -2w = -14 + 2w + -2w Combine like terms: -3w + -2w = -5w -9 + -5w = -14 + 2w + -2w Combine like terms: 2w + -2w = 0 -9 + -5w = -14 + 0 -9 + -5w = -14 Add '9' to each side of the equation. -9 + 9 + -5w = -14 + 9 Combine like terms: -9 + 9 = 0 0 + -5w = -14 + 9 -5w = -14 + 9 Combine like terms: -14 + 9 = -5 -5w = -5 Divide each side by '-5'. w = 1 Simplifying w = 1
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