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Simplifying 3w + -12 = -6w + 15 Reorder the terms: -12 + 3w = -6w + 15 Reorder the terms: -12 + 3w = 15 + -6w Solving -12 + 3w = 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. -12 + 3w + 6w = 15 + -6w + 6w Combine like terms: 3w + 6w = 9w -12 + 9w = 15 + -6w + 6w Combine like terms: -6w + 6w = 0 -12 + 9w = 15 + 0 -12 + 9w = 15 Add '12' to each side of the equation. -12 + 12 + 9w = 15 + 12 Combine like terms: -12 + 12 = 0 0 + 9w = 15 + 12 9w = 15 + 12 Combine like terms: 15 + 12 = 27 9w = 27 Divide each side by '9'. w = 3 Simplifying w = 3
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