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Simplifying 30 = 9w + -5(3w + -12) Reorder the terms: 30 = 9w + -5(-12 + 3w) 30 = 9w + (-12 * -5 + 3w * -5) 30 = 9w + (60 + -15w) Reorder the terms: 30 = 60 + 9w + -15w Combine like terms: 9w + -15w = -6w 30 = 60 + -6w Solving 30 = 60 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 30 + 6w = 60 + -6w + 6w Combine like terms: -6w + 6w = 0 30 + 6w = 60 + 0 30 + 6w = 60 Add '-30' to each side of the equation. 30 + -30 + 6w = 60 + -30 Combine like terms: 30 + -30 = 0 0 + 6w = 60 + -30 6w = 60 + -30 Combine like terms: 60 + -30 = 30 6w = 30 Divide each side by '6'. w = 5 Simplifying w = 5
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