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Simplifying 10w = -4(-6.3w + -9.12) Reorder the terms: 10w = -4(-9.12 + -6.3w) 10w = (-9.12 * -4 + -6.3w * -4) 10w = (36.48 + 25.2w) Solving 10w = 36.48 + 25.2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-25.2w' to each side of the equation. 10w + -25.2w = 36.48 + 25.2w + -25.2w Combine like terms: 10w + -25.2w = -15.2w -15.2w = 36.48 + 25.2w + -25.2w Combine like terms: 25.2w + -25.2w = 0.0 -15.2w = 36.48 + 0.0 -15.2w = 36.48 Divide each side by '-15.2'. w = -2.4 Simplifying w = -2.4
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