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Simplifying 4 + 2(3w + -2) = -2(3w + -3) + 4w Reorder the terms: 4 + 2(-2 + 3w) = -2(3w + -3) + 4w 4 + (-2 * 2 + 3w * 2) = -2(3w + -3) + 4w 4 + (-4 + 6w) = -2(3w + -3) + 4w Combine like terms: 4 + -4 = 0 0 + 6w = -2(3w + -3) + 4w 6w = -2(3w + -3) + 4w Reorder the terms: 6w = -2(-3 + 3w) + 4w 6w = (-3 * -2 + 3w * -2) + 4w 6w = (6 + -6w) + 4w Combine like terms: -6w + 4w = -2w 6w = 6 + -2w Solving 6w = 6 + -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. 6w + 2w = 6 + -2w + 2w Combine like terms: 6w + 2w = 8w 8w = 6 + -2w + 2w Combine like terms: -2w + 2w = 0 8w = 6 + 0 8w = 6 Divide each side by '8'. w = 0.75 Simplifying w = 0.75
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