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Simplifying 19 + 15w + 5 = -15 + 12w Reorder the terms: 19 + 5 + 15w = -15 + 12w Combine like terms: 19 + 5 = 24 24 + 15w = -15 + 12w Solving 24 + 15w = -15 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. 24 + 15w + -12w = -15 + 12w + -12w Combine like terms: 15w + -12w = 3w 24 + 3w = -15 + 12w + -12w Combine like terms: 12w + -12w = 0 24 + 3w = -15 + 0 24 + 3w = -15 Add '-24' to each side of the equation. 24 + -24 + 3w = -15 + -24 Combine like terms: 24 + -24 = 0 0 + 3w = -15 + -24 3w = -15 + -24 Combine like terms: -15 + -24 = -39 3w = -39 Divide each side by '3'. w = -13 Simplifying w = -13
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