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Simplifying 5(12 + -3w) + 25w = 2w (12 * 5 + -3w * 5) + 25w = 2w (60 + -15w) + 25w = 2w Combine like terms: -15w + 25w = 10w 60 + 10w = 2w Solving 60 + 10w = 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 60 + 10w + -2w = 2w + -2w Combine like terms: 10w + -2w = 8w 60 + 8w = 2w + -2w Combine like terms: 2w + -2w = 0 60 + 8w = 0 Add '-60' to each side of the equation. 60 + -60 + 8w = 0 + -60 Combine like terms: 60 + -60 = 0 0 + 8w = 0 + -60 8w = 0 + -60 Combine like terms: 0 + -60 = -60 8w = -60 Divide each side by '8'. w = -7.5 Simplifying w = -7.5
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