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Simplifying 3w + -6 = 6w + 9 Reorder the terms: -6 + 3w = 6w + 9 Reorder the terms: -6 + 3w = 9 + 6w Solving -6 + 3w = 9 + 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. -6 + 3w + -6w = 9 + 6w + -6w Combine like terms: 3w + -6w = -3w -6 + -3w = 9 + 6w + -6w Combine like terms: 6w + -6w = 0 -6 + -3w = 9 + 0 -6 + -3w = 9 Add '6' to each side of the equation. -6 + 6 + -3w = 9 + 6 Combine like terms: -6 + 6 = 0 0 + -3w = 9 + 6 -3w = 9 + 6 Combine like terms: 9 + 6 = 15 -3w = 15 Divide each side by '-3'. w = -5 Simplifying w = -5
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