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Simplifying 3w + -9 = -3(w + -3) Reorder the terms: -9 + 3w = -3(w + -3) Reorder the terms: -9 + 3w = -3(-3 + w) -9 + 3w = (-3 * -3 + w * -3) -9 + 3w = (9 + -3w) Solving -9 + 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. -9 + 3w + 3w = 9 + -3w + 3w Combine like terms: 3w + 3w = 6w -9 + 6w = 9 + -3w + 3w Combine like terms: -3w + 3w = 0 -9 + 6w = 9 + 0 -9 + 6w = 9 Add '9' to each side of the equation. -9 + 9 + 6w = 9 + 9 Combine like terms: -9 + 9 = 0 0 + 6w = 9 + 9 6w = 9 + 9 Combine like terms: 9 + 9 = 18 6w = 18 Divide each side by '6'. w = 3 Simplifying w = 3
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