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Simplifying 3w + 30 = -2(w + -5) Reorder the terms: 30 + 3w = -2(w + -5) Reorder the terms: 30 + 3w = -2(-5 + w) 30 + 3w = (-5 * -2 + w * -2) 30 + 3w = (10 + -2w) Solving 30 + 3w = 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. 30 + 3w + 2w = 10 + -2w + 2w Combine like terms: 3w + 2w = 5w 30 + 5w = 10 + -2w + 2w Combine like terms: -2w + 2w = 0 30 + 5w = 10 + 0 30 + 5w = 10 Add '-30' to each side of the equation. 30 + -30 + 5w = 10 + -30 Combine like terms: 30 + -30 = 0 0 + 5w = 10 + -30 5w = 10 + -30 Combine like terms: 10 + -30 = -20 5w = -20 Divide each side by '5'. w = -4 Simplifying w = -4
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