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Simplifying 2w + -30 = -3(w + -5) Reorder the terms: -30 + 2w = -3(w + -5) Reorder the terms: -30 + 2w = -3(-5 + w) -30 + 2w = (-5 * -3 + w * -3) -30 + 2w = (15 + -3w) Solving -30 + 2w = 15 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. -30 + 2w + 3w = 15 + -3w + 3w Combine like terms: 2w + 3w = 5w -30 + 5w = 15 + -3w + 3w Combine like terms: -3w + 3w = 0 -30 + 5w = 15 + 0 -30 + 5w = 15 Add '30' to each side of the equation. -30 + 30 + 5w = 15 + 30 Combine like terms: -30 + 30 = 0 0 + 5w = 15 + 30 5w = 15 + 30 Combine like terms: 15 + 30 = 45 5w = 45 Divide each side by '5'. w = 9 Simplifying w = 9
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