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Simplifying 9x + 3w + -24 + -1w = -2x + 19 + -5w Reorder the terms: -24 + 3w + -1w + 9x = -2x + 19 + -5w Combine like terms: 3w + -1w = 2w -24 + 2w + 9x = -2x + 19 + -5w Reorder the terms: -24 + 2w + 9x = 19 + -5w + -2x Solving -24 + 2w + 9x = 19 + -5w + -2x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. -24 + 2w + 5w + 9x = 19 + -5w + 5w + -2x Combine like terms: 2w + 5w = 7w -24 + 7w + 9x = 19 + -5w + 5w + -2x Combine like terms: -5w + 5w = 0 -24 + 7w + 9x = 19 + 0 + -2x -24 + 7w + 9x = 19 + -2x Add '24' to each side of the equation. -24 + 7w + 24 + 9x = 19 + 24 + -2x Reorder the terms: -24 + 24 + 7w + 9x = 19 + 24 + -2x Combine like terms: -24 + 24 = 0 0 + 7w + 9x = 19 + 24 + -2x 7w + 9x = 19 + 24 + -2x Combine like terms: 19 + 24 = 43 7w + 9x = 43 + -2x Add '-9x' to each side of the equation. 7w + 9x + -9x = 43 + -2x + -9x Combine like terms: 9x + -9x = 0 7w + 0 = 43 + -2x + -9x 7w = 43 + -2x + -9x Combine like terms: -2x + -9x = -11x 7w = 43 + -11x Divide each side by '7'. w = 6.142857143 + -1.571428571x Simplifying w = 6.142857143 + -1.571428571x
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