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Simplifying 9w + -21 = -3(w + -5) Reorder the terms: -21 + 9w = -3(w + -5) Reorder the terms: -21 + 9w = -3(-5 + w) -21 + 9w = (-5 * -3 + w * -3) -21 + 9w = (15 + -3w) Solving -21 + 9w = 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. -21 + 9w + 3w = 15 + -3w + 3w Combine like terms: 9w + 3w = 12w -21 + 12w = 15 + -3w + 3w Combine like terms: -3w + 3w = 0 -21 + 12w = 15 + 0 -21 + 12w = 15 Add '21' to each side of the equation. -21 + 21 + 12w = 15 + 21 Combine like terms: -21 + 21 = 0 0 + 12w = 15 + 21 12w = 15 + 21 Combine like terms: 15 + 21 = 36 12w = 36 Divide each side by '12'. w = 3 Simplifying w = 3
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