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Simplifying -2w + -14 = -14 + 4 + 2w Reorder the terms: -14 + -2w = -14 + 4 + 2w Combine like terms: -14 + 4 = -10 -14 + -2w = -10 + 2w Solving -14 + -2w = -10 + 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. -14 + -2w + -2w = -10 + 2w + -2w Combine like terms: -2w + -2w = -4w -14 + -4w = -10 + 2w + -2w Combine like terms: 2w + -2w = 0 -14 + -4w = -10 + 0 -14 + -4w = -10 Add '14' to each side of the equation. -14 + 14 + -4w = -10 + 14 Combine like terms: -14 + 14 = 0 0 + -4w = -10 + 14 -4w = -10 + 14 Combine like terms: -10 + 14 = 4 -4w = 4 Divide each side by '-4'. w = -1 Simplifying w = -1
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