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Simplifying 3(2w + 4) = -6w + 17 Reorder the terms: 3(4 + 2w) = -6w + 17 (4 * 3 + 2w * 3) = -6w + 17 (12 + 6w) = -6w + 17 Reorder the terms: 12 + 6w = 17 + -6w Solving 12 + 6w = 17 + -6w 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. 12 + 6w + 6w = 17 + -6w + 6w Combine like terms: 6w + 6w = 12w 12 + 12w = 17 + -6w + 6w Combine like terms: -6w + 6w = 0 12 + 12w = 17 + 0 12 + 12w = 17 Add '-12' to each side of the equation. 12 + -12 + 12w = 17 + -12 Combine like terms: 12 + -12 = 0 0 + 12w = 17 + -12 12w = 17 + -12 Combine like terms: 17 + -12 = 5 12w = 5 Divide each side by '12'. w = 0.4166666667 Simplifying w = 0.4166666667
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