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Simplifying 6w + 9 = -6w + -15 Reorder the terms: 9 + 6w = -6w + -15 Reorder the terms: 9 + 6w = -15 + -6w Solving 9 + 6w = -15 + -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. 9 + 6w + 6w = -15 + -6w + 6w Combine like terms: 6w + 6w = 12w 9 + 12w = -15 + -6w + 6w Combine like terms: -6w + 6w = 0 9 + 12w = -15 + 0 9 + 12w = -15 Add '-9' to each side of the equation. 9 + -9 + 12w = -15 + -9 Combine like terms: 9 + -9 = 0 0 + 12w = -15 + -9 12w = -15 + -9 Combine like terms: -15 + -9 = -24 12w = -24 Divide each side by '12'. w = -2 Simplifying w = -2
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