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Simplifying 4 + -2w = 7(-3w + 2) Reorder the terms: 4 + -2w = 7(2 + -3w) 4 + -2w = (2 * 7 + -3w * 7) 4 + -2w = (14 + -21w) Solving 4 + -2w = 14 + -21w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '21w' to each side of the equation. 4 + -2w + 21w = 14 + -21w + 21w Combine like terms: -2w + 21w = 19w 4 + 19w = 14 + -21w + 21w Combine like terms: -21w + 21w = 0 4 + 19w = 14 + 0 4 + 19w = 14 Add '-4' to each side of the equation. 4 + -4 + 19w = 14 + -4 Combine like terms: 4 + -4 = 0 0 + 19w = 14 + -4 19w = 14 + -4 Combine like terms: 14 + -4 = 10 19w = 10 Divide each side by '19'. w = 0.5263157895 Simplifying w = 0.5263157895
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