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Simplifying 12 + -6w + -3 = 7w + -21 + -3 Reorder the terms: 12 + -3 + -6w = 7w + -21 + -3 Combine like terms: 12 + -3 = 9 9 + -6w = 7w + -21 + -3 Reorder the terms: 9 + -6w = -21 + -3 + 7w Combine like terms: -21 + -3 = -24 9 + -6w = -24 + 7w Solving 9 + -6w = -24 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 9 + -6w + -7w = -24 + 7w + -7w Combine like terms: -6w + -7w = -13w 9 + -13w = -24 + 7w + -7w Combine like terms: 7w + -7w = 0 9 + -13w = -24 + 0 9 + -13w = -24 Add '-9' to each side of the equation. 9 + -9 + -13w = -24 + -9 Combine like terms: 9 + -9 = 0 0 + -13w = -24 + -9 -13w = -24 + -9 Combine like terms: -24 + -9 = -33 -13w = -33 Divide each side by '-13'. w = 2.538461538 Simplifying w = 2.538461538
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