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Simplifying 2w + -15w + -18 = -83 Reorder the terms: -18 + 2w + -15w = -83 Combine like terms: 2w + -15w = -13w -18 + -13w = -83 Solving -18 + -13w = -83 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -13w = -83 + 18 Combine like terms: -18 + 18 = 0 0 + -13w = -83 + 18 -13w = -83 + 18 Combine like terms: -83 + 18 = -65 -13w = -65 Divide each side by '-13'. w = 5 Simplifying w = 5
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