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Simplifying 3w + -9 = -3(w + 5) Reorder the terms: -9 + 3w = -3(w + 5) Reorder the terms: -9 + 3w = -3(5 + w) -9 + 3w = (5 * -3 + w * -3) -9 + 3w = (-15 + -3w) Solving -9 + 3w = -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. -9 + 3w + 3w = -15 + -3w + 3w Combine like terms: 3w + 3w = 6w -9 + 6w = -15 + -3w + 3w Combine like terms: -3w + 3w = 0 -9 + 6w = -15 + 0 -9 + 6w = -15 Add '9' to each side of the equation. -9 + 9 + 6w = -15 + 9 Combine like terms: -9 + 9 = 0 0 + 6w = -15 + 9 6w = -15 + 9 Combine like terms: -15 + 9 = -6 6w = -6 Divide each side by '6'. w = -1 Simplifying w = -1
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