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Simplifying 36 = 3(10 + -2w) 36 = (10 * 3 + -2w * 3) 36 = (30 + -6w) Solving 36 = 30 + -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. 36 + 6w = 30 + -6w + 6w Combine like terms: -6w + 6w = 0 36 + 6w = 30 + 0 36 + 6w = 30 Add '-36' to each side of the equation. 36 + -36 + 6w = 30 + -36 Combine like terms: 36 + -36 = 0 0 + 6w = 30 + -36 6w = 30 + -36 Combine like terms: 30 + -36 = -6 6w = -6 Divide each side by '6'. w = -1 Simplifying w = -1
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