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Simplifying 5w + 12 + -3(4 + -2w) = 6w + -25 5w + 12 + (4 * -3 + -2w * -3) = 6w + -25 5w + 12 + (-12 + 6w) = 6w + -25 Reorder the terms: 12 + -12 + 5w + 6w = 6w + -25 Combine like terms: 12 + -12 = 0 0 + 5w + 6w = 6w + -25 5w + 6w = 6w + -25 Combine like terms: 5w + 6w = 11w 11w = 6w + -25 Reorder the terms: 11w = -25 + 6w Solving 11w = -25 + 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. 11w + -6w = -25 + 6w + -6w Combine like terms: 11w + -6w = 5w 5w = -25 + 6w + -6w Combine like terms: 6w + -6w = 0 5w = -25 + 0 5w = -25 Divide each side by '5'. w = -5 Simplifying w = -5
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