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Simplifying -83 = 2w + 3 + -18 Reorder the terms: -83 = 3 + -18 + 2w Combine like terms: 3 + -18 = -15 -83 = -15 + 2w Solving -83 = -15 + 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. -83 + -2w = -15 + 2w + -2w Combine like terms: 2w + -2w = 0 -83 + -2w = -15 + 0 -83 + -2w = -15 Add '83' to each side of the equation. -83 + 83 + -2w = -15 + 83 Combine like terms: -83 + 83 = 0 0 + -2w = -15 + 83 -2w = -15 + 83 Combine like terms: -15 + 83 = 68 -2w = 68 Divide each side by '-2'. w = -34 Simplifying w = -34
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