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Simplifying -14w + 13 = -15 + -10w Reorder the terms: 13 + -14w = -15 + -10w Solving 13 + -14w = -15 + -10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '10w' to each side of the equation. 13 + -14w + 10w = -15 + -10w + 10w Combine like terms: -14w + 10w = -4w 13 + -4w = -15 + -10w + 10w Combine like terms: -10w + 10w = 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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