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Simplifying 6x + -5 + 8w + -2w = 9w + -24 Reorder the terms: -5 + 8w + -2w + 6x = 9w + -24 Combine like terms: 8w + -2w = 6w -5 + 6w + 6x = 9w + -24 Reorder the terms: -5 + 6w + 6x = -24 + 9w Solving -5 + 6w + 6x = -24 + 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. -5 + 6w + -9w + 6x = -24 + 9w + -9w Combine like terms: 6w + -9w = -3w -5 + -3w + 6x = -24 + 9w + -9w Combine like terms: 9w + -9w = 0 -5 + -3w + 6x = -24 + 0 -5 + -3w + 6x = -24 Add '5' to each side of the equation. -5 + -3w + 5 + 6x = -24 + 5 Reorder the terms: -5 + 5 + -3w + 6x = -24 + 5 Combine like terms: -5 + 5 = 0 0 + -3w + 6x = -24 + 5 -3w + 6x = -24 + 5 Combine like terms: -24 + 5 = -19 -3w + 6x = -19 Add '-6x' to each side of the equation. -3w + 6x + -6x = -19 + -6x Combine like terms: 6x + -6x = 0 -3w + 0 = -19 + -6x -3w = -19 + -6x Divide each side by '-3'. w = 6.333333333 + 2x Simplifying w = 6.333333333 + 2x
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