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