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Simplifying 8 + 5(2w + -1) = -2(5w + -3) + 8w Reorder the terms: 8 + 5(-1 + 2w) = -2(5w + -3) + 8w 8 + (-1 * 5 + 2w * 5) = -2(5w + -3) + 8w 8 + (-5 + 10w) = -2(5w + -3) + 8w Combine like terms: 8 + -5 = 3 3 + 10w = -2(5w + -3) + 8w Reorder the terms: 3 + 10w = -2(-3 + 5w) + 8w 3 + 10w = (-3 * -2 + 5w * -2) + 8w 3 + 10w = (6 + -10w) + 8w Combine like terms: -10w + 8w = -2w 3 + 10w = 6 + -2w Solving 3 + 10w = 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. 3 + 10w + 2w = 6 + -2w + 2w Combine like terms: 10w + 2w = 12w 3 + 12w = 6 + -2w + 2w Combine like terms: -2w + 2w = 0 3 + 12w = 6 + 0 3 + 12w = 6 Add '-3' to each side of the equation. 3 + -3 + 12w = 6 + -3 Combine like terms: 3 + -3 = 0 0 + 12w = 6 + -3 12w = 6 + -3 Combine like terms: 6 + -3 = 3 12w = 3 Divide each side by '12'. w = 0.25 Simplifying w = 0.25
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