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Simplifying 2w + 5 + -4w + -7 = -14 Reorder the terms: 5 + -7 + 2w + -4w = -14 Combine like terms: 5 + -7 = -2 -2 + 2w + -4w = -14 Combine like terms: 2w + -4w = -2w -2 + -2w = -14 Solving -2 + -2w = -14 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -2w = -14 + 2 Combine like terms: -2 + 2 = 0 0 + -2w = -14 + 2 -2w = -14 + 2 Combine like terms: -14 + 2 = -12 -2w = -12 Divide each side by '-2'. w = 6 Simplifying w = 6
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