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Simplifying -9w + 15 = -3(w + 3) Reorder the terms: 15 + -9w = -3(w + 3) Reorder the terms: 15 + -9w = -3(3 + w) 15 + -9w = (3 * -3 + w * -3) 15 + -9w = (-9 + -3w) Solving 15 + -9w = -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. 15 + -9w + 3w = -9 + -3w + 3w Combine like terms: -9w + 3w = -6w 15 + -6w = -9 + -3w + 3w Combine like terms: -3w + 3w = 0 15 + -6w = -9 + 0 15 + -6w = -9 Add '-15' to each side of the equation. 15 + -15 + -6w = -9 + -15 Combine like terms: 15 + -15 = 0 0 + -6w = -9 + -15 -6w = -9 + -15 Combine like terms: -9 + -15 = -24 -6w = -24 Divide each side by '-6'. w = 4 Simplifying w = 4
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