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