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Simplifying 4 + 2(3w + -3) = -2(4w + -4) + 8w Reorder the terms: 4 + 2(-3 + 3w) = -2(4w + -4) + 8w 4 + (-3 * 2 + 3w * 2) = -2(4w + -4) + 8w 4 + (-6 + 6w) = -2(4w + -4) + 8w Combine like terms: 4 + -6 = -2 -2 + 6w = -2(4w + -4) + 8w Reorder the terms: -2 + 6w = -2(-4 + 4w) + 8w -2 + 6w = (-4 * -2 + 4w * -2) + 8w -2 + 6w = (8 + -8w) + 8w Combine like terms: -8w + 8w = 0 -2 + 6w = 8 + 0 -2 + 6w = 8 Solving -2 + 6w = 8 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 6w = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 6w = 8 + 2 6w = 8 + 2 Combine like terms: 8 + 2 = 10 6w = 10 Divide each side by '6'. w = 1.666666667 Simplifying w = 1.666666667
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