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Simplifying 8 + 2(4w + -3) = -2(7w + -5) + 6w Reorder the terms: 8 + 2(-3 + 4w) = -2(7w + -5) + 6w 8 + (-3 * 2 + 4w * 2) = -2(7w + -5) + 6w 8 + (-6 + 8w) = -2(7w + -5) + 6w Combine like terms: 8 + -6 = 2 2 + 8w = -2(7w + -5) + 6w Reorder the terms: 2 + 8w = -2(-5 + 7w) + 6w 2 + 8w = (-5 * -2 + 7w * -2) + 6w 2 + 8w = (10 + -14w) + 6w Combine like terms: -14w + 6w = -8w 2 + 8w = 10 + -8w Solving 2 + 8w = 10 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. 2 + 8w + 8w = 10 + -8w + 8w Combine like terms: 8w + 8w = 16w 2 + 16w = 10 + -8w + 8w Combine like terms: -8w + 8w = 0 2 + 16w = 10 + 0 2 + 16w = 10 Add '-2' to each side of the equation. 2 + -2 + 16w = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 16w = 10 + -2 16w = 10 + -2 Combine like terms: 10 + -2 = 8 16w = 8 Divide each side by '16'. w = 0.5 Simplifying w = 0.5
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