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Simplifying 14 + -5w + -7w = 8w + 15 Combine like terms: -5w + -7w = -12w 14 + -12w = 8w + 15 Reorder the terms: 14 + -12w = 15 + 8w Solving 14 + -12w = 15 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 14 + -12w + -8w = 15 + 8w + -8w Combine like terms: -12w + -8w = -20w 14 + -20w = 15 + 8w + -8w Combine like terms: 8w + -8w = 0 14 + -20w = 15 + 0 14 + -20w = 15 Add '-14' to each side of the equation. 14 + -14 + -20w = 15 + -14 Combine like terms: 14 + -14 = 0 0 + -20w = 15 + -14 -20w = 15 + -14 Combine like terms: 15 + -14 = 1 -20w = 1 Divide each side by '-20'. w = -0.05 Simplifying w = -0.05
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