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Simplifying 4 = 9 + -3(2w + 1) + -5x Reorder the terms: 4 = 9 + -3(1 + 2w) + -5x 4 = 9 + (1 * -3 + 2w * -3) + -5x 4 = 9 + (-3 + -6w) + -5x Combine like terms: 9 + -3 = 6 4 = 6 + -6w + -5x Solving 4 = 6 + -6w + -5x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 4 + 6w = 6 + -6w + 6w + -5x Combine like terms: -6w + 6w = 0 4 + 6w = 6 + 0 + -5x 4 + 6w = 6 + -5x Add '-4' to each side of the equation. 4 + -4 + 6w = 6 + -4 + -5x Combine like terms: 4 + -4 = 0 0 + 6w = 6 + -4 + -5x 6w = 6 + -4 + -5x Combine like terms: 6 + -4 = 2 6w = 2 + -5x Divide each side by '6'. w = 0.3333333333 + -0.8333333333x Simplifying w = 0.3333333333 + -0.8333333333x
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