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Simplifying 3w + -10 = 2(4w + -5) Reorder the terms: -10 + 3w = 2(4w + -5) Reorder the terms: -10 + 3w = 2(-5 + 4w) -10 + 3w = (-5 * 2 + 4w * 2) -10 + 3w = (-10 + 8w) Add '10' to each side of the equation. -10 + 10 + 3w = -10 + 10 + 8w Combine like terms: -10 + 10 = 0 0 + 3w = -10 + 10 + 8w 3w = -10 + 10 + 8w Combine like terms: -10 + 10 = 0 3w = 0 + 8w 3w = 8w Solving 3w = 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. 3w + -8w = 8w + -8w Combine like terms: 3w + -8w = -5w -5w = 8w + -8w Combine like terms: 8w + -8w = 0 -5w = 0 Divide each side by '-5'. w = 0 Simplifying w = 0
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