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Simplifying 6w + 9 = 2 + 10w + 3w Reorder the terms: 9 + 6w = 2 + 10w + 3w Combine like terms: 10w + 3w = 13w 9 + 6w = 2 + 13w Solving 9 + 6w = 2 + 13w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13w' to each side of the equation. 9 + 6w + -13w = 2 + 13w + -13w Combine like terms: 6w + -13w = -7w 9 + -7w = 2 + 13w + -13w Combine like terms: 13w + -13w = 0 9 + -7w = 2 + 0 9 + -7w = 2 Add '-9' to each side of the equation. 9 + -9 + -7w = 2 + -9 Combine like terms: 9 + -9 = 0 0 + -7w = 2 + -9 -7w = 2 + -9 Combine like terms: 2 + -9 = -7 -7w = -7 Divide each side by '-7'. w = 1 Simplifying w = 1
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