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Simplifying 5w + 0 = 2(4w + -10) Reorder the terms: 0 + 5w = 2(4w + -10) Remove the zero: 5w = 2(4w + -10) Reorder the terms: 5w = 2(-10 + 4w) 5w = (-10 * 2 + 4w * 2) 5w = (-20 + 8w) Solving 5w = -20 + 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. 5w + -8w = -20 + 8w + -8w Combine like terms: 5w + -8w = -3w -3w = -20 + 8w + -8w Combine like terms: 8w + -8w = 0 -3w = -20 + 0 -3w = -20 Divide each side by '-3'. w = 6.666666667 Simplifying w = 6.666666667
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