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Simplifying 15 + 5w + -7w = 6 + 2w + -27 Combine like terms: 5w + -7w = -2w 15 + -2w = 6 + 2w + -27 Reorder the terms: 15 + -2w = 6 + -27 + 2w Combine like terms: 6 + -27 = -21 15 + -2w = -21 + 2w Solving 15 + -2w = -21 + 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 = -21 + 2w + -2w Combine like terms: -2w + -2w = -4w 15 + -4w = -21 + 2w + -2w Combine like terms: 2w + -2w = 0 15 + -4w = -21 + 0 15 + -4w = -21 Add '-15' to each side of the equation. 15 + -15 + -4w = -21 + -15 Combine like terms: 15 + -15 = 0 0 + -4w = -21 + -15 -4w = -21 + -15 Combine like terms: -21 + -15 = -36 -4w = -36 Divide each side by '-4'. w = 9 Simplifying w = 9
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