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Simplifying 6w + -9x = 4w + 7x Solving 6w + -9x = 4w + 7x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 6w + -4w + -9x = 4w + -4w + 7x Combine like terms: 6w + -4w = 2w 2w + -9x = 4w + -4w + 7x Combine like terms: 4w + -4w = 0 2w + -9x = 0 + 7x 2w + -9x = 7x Add '9x' to each side of the equation. 2w + -9x + 9x = 7x + 9x Combine like terms: -9x + 9x = 0 2w + 0 = 7x + 9x 2w = 7x + 9x Combine like terms: 7x + 9x = 16x 2w = 16x Divide each side by '2'. w = 8x Simplifying w = 8x
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