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Simplifying -3w + -15 = -9(w + -5) Reorder the terms: -15 + -3w = -9(w + -5) Reorder the terms: -15 + -3w = -9(-5 + w) -15 + -3w = (-5 * -9 + w * -9) -15 + -3w = (45 + -9w) Solving -15 + -3w = 45 + -9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9w' to each side of the equation. -15 + -3w + 9w = 45 + -9w + 9w Combine like terms: -3w + 9w = 6w -15 + 6w = 45 + -9w + 9w Combine like terms: -9w + 9w = 0 -15 + 6w = 45 + 0 -15 + 6w = 45 Add '15' to each side of the equation. -15 + 15 + 6w = 45 + 15 Combine like terms: -15 + 15 = 0 0 + 6w = 45 + 15 6w = 45 + 15 Combine like terms: 45 + 15 = 60 6w = 60 Divide each side by '6'. w = 10 Simplifying w = 10
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