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Simplifying 6(w + 2) = -3(6w + -5) + 9w Reorder the terms: 6(2 + w) = -3(6w + -5) + 9w (2 * 6 + w * 6) = -3(6w + -5) + 9w (12 + 6w) = -3(6w + -5) + 9w Reorder the terms: 12 + 6w = -3(-5 + 6w) + 9w 12 + 6w = (-5 * -3 + 6w * -3) + 9w 12 + 6w = (15 + -18w) + 9w Combine like terms: -18w + 9w = -9w 12 + 6w = 15 + -9w Solving 12 + 6w = 15 + -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. 12 + 6w + 9w = 15 + -9w + 9w Combine like terms: 6w + 9w = 15w 12 + 15w = 15 + -9w + 9w Combine like terms: -9w + 9w = 0 12 + 15w = 15 + 0 12 + 15w = 15 Add '-12' to each side of the equation. 12 + -12 + 15w = 15 + -12 Combine like terms: 12 + -12 = 0 0 + 15w = 15 + -12 15w = 15 + -12 Combine like terms: 15 + -12 = 3 15w = 3 Divide each side by '15'. w = 0.2 Simplifying w = 0.2
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