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Simplifying 3w + -21 = -3(w + 3) Reorder the terms: -21 + 3w = -3(w + 3) Reorder the terms: -21 + 3w = -3(3 + w) -21 + 3w = (3 * -3 + w * -3) -21 + 3w = (-9 + -3w) Solving -21 + 3w = -9 + -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 + 3w + 3w = -9 + -3w + 3w Combine like terms: 3w + 3w = 6w -21 + 6w = -9 + -3w + 3w Combine like terms: -3w + 3w = 0 -21 + 6w = -9 + 0 -21 + 6w = -9 Add '21' to each side of the equation. -21 + 21 + 6w = -9 + 21 Combine like terms: -21 + 21 = 0 0 + 6w = -9 + 21 6w = -9 + 21 Combine like terms: -9 + 21 = 12 6w = 12 Divide each side by '6'. w = 2 Simplifying w = 2
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