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Simplifying 5w + -25 = 2(w + -5) Reorder the terms: -25 + 5w = 2(w + -5) Reorder the terms: -25 + 5w = 2(-5 + w) -25 + 5w = (-5 * 2 + w * 2) -25 + 5w = (-10 + 2w) Solving -25 + 5w = -10 + 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. -25 + 5w + -2w = -10 + 2w + -2w Combine like terms: 5w + -2w = 3w -25 + 3w = -10 + 2w + -2w Combine like terms: 2w + -2w = 0 -25 + 3w = -10 + 0 -25 + 3w = -10 Add '25' to each side of the equation. -25 + 25 + 3w = -10 + 25 Combine like terms: -25 + 25 = 0 0 + 3w = -10 + 25 3w = -10 + 25 Combine like terms: -10 + 25 = 15 3w = 15 Divide each side by '3'. w = 5 Simplifying w = 5
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