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Simplifying 3w + -15 = 9w + 39 Reorder the terms: -15 + 3w = 9w + 39 Reorder the terms: -15 + 3w = 39 + 9w Solving -15 + 3w = 39 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. -15 + 3w + -9w = 39 + 9w + -9w Combine like terms: 3w + -9w = -6w -15 + -6w = 39 + 9w + -9w Combine like terms: 9w + -9w = 0 -15 + -6w = 39 + 0 -15 + -6w = 39 Add '15' to each side of the equation. -15 + 15 + -6w = 39 + 15 Combine like terms: -15 + 15 = 0 0 + -6w = 39 + 15 -6w = 39 + 15 Combine like terms: 39 + 15 = 54 -6w = 54 Divide each side by '-6'. w = -9 Simplifying w = -9
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