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Simplifying 15 + -2w = 2w + -13 Reorder the terms: 15 + -2w = -13 + 2w Solving 15 + -2w = -13 + 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. 15 + -2w + -2w = -13 + 2w + -2w Combine like terms: -2w + -2w = -4w 15 + -4w = -13 + 2w + -2w Combine like terms: 2w + -2w = 0 15 + -4w = -13 + 0 15 + -4w = -13 Add '-15' to each side of the equation. 15 + -15 + -4w = -13 + -15 Combine like terms: 15 + -15 = 0 0 + -4w = -13 + -15 -4w = -13 + -15 Combine like terms: -13 + -15 = -28 -4w = -28 Divide each side by '-4'. w = 7 Simplifying w = 7
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