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Simplifying 12w + 19 + -15w = -20 + -6w Reorder the terms: 19 + 12w + -15w = -20 + -6w Combine like terms: 12w + -15w = -3w 19 + -3w = -20 + -6w Solving 19 + -3w = -20 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 19 + -3w + 6w = -20 + -6w + 6w Combine like terms: -3w + 6w = 3w 19 + 3w = -20 + -6w + 6w Combine like terms: -6w + 6w = 0 19 + 3w = -20 + 0 19 + 3w = -20 Add '-19' to each side of the equation. 19 + -19 + 3w = -20 + -19 Combine like terms: 19 + -19 = 0 0 + 3w = -20 + -19 3w = -20 + -19 Combine like terms: -20 + -19 = -39 3w = -39 Divide each side by '3'. w = -13 Simplifying w = -13
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