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Simplifying 2w + -21 = -3(w + -8) Reorder the terms: -21 + 2w = -3(w + -8) Reorder the terms: -21 + 2w = -3(-8 + w) -21 + 2w = (-8 * -3 + w * -3) -21 + 2w = (24 + -3w) Solving -21 + 2w = 24 + -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. -21 + 2w + 3w = 24 + -3w + 3w Combine like terms: 2w + 3w = 5w -21 + 5w = 24 + -3w + 3w Combine like terms: -3w + 3w = 0 -21 + 5w = 24 + 0 -21 + 5w = 24 Add '21' to each side of the equation. -21 + 21 + 5w = 24 + 21 Combine like terms: -21 + 21 = 0 0 + 5w = 24 + 21 5w = 24 + 21 Combine like terms: 24 + 21 = 45 5w = 45 Divide each side by '5'. w = 9 Simplifying w = 9
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