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Simplifying 6w + 3 + 3w = 3(4 + w) + -3 Reorder the terms: 3 + 6w + 3w = 3(4 + w) + -3 Combine like terms: 6w + 3w = 9w 3 + 9w = 3(4 + w) + -3 3 + 9w = (4 * 3 + w * 3) + -3 3 + 9w = (12 + 3w) + -3 Reorder the terms: 3 + 9w = 12 + -3 + 3w Combine like terms: 12 + -3 = 9 3 + 9w = 9 + 3w Solving 3 + 9w = 9 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 3 + 9w + -3w = 9 + 3w + -3w Combine like terms: 9w + -3w = 6w 3 + 6w = 9 + 3w + -3w Combine like terms: 3w + -3w = 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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