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Simplifying 8 + -1.2(w + -9) = 0.4(2w + -9) Reorder the terms: 8 + -1.2(-9 + w) = 0.4(2w + -9) 8 + (-9 * -1.2 + w * -1.2) = 0.4(2w + -9) 8 + (10.8 + -1.2w) = 0.4(2w + -9) Combine like terms: 8 + 10.8 = 18.8 18.8 + -1.2w = 0.4(2w + -9) Reorder the terms: 18.8 + -1.2w = 0.4(-9 + 2w) 18.8 + -1.2w = (-9 * 0.4 + 2w * 0.4) 18.8 + -1.2w = (-3.6 + 0.8w) Solving 18.8 + -1.2w = -3.6 + 0.8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.8w' to each side of the equation. 18.8 + -1.2w + -0.8w = -3.6 + 0.8w + -0.8w Combine like terms: -1.2w + -0.8w = -2w 18.8 + -2w = -3.6 + 0.8w + -0.8w Combine like terms: 0.8w + -0.8w = 0.0 18.8 + -2w = -3.6 + 0.0 18.8 + -2w = -3.6 Add '-18.8' to each side of the equation. 18.8 + -18.8 + -2w = -3.6 + -18.8 Combine like terms: 18.8 + -18.8 = 0.0 0.0 + -2w = -3.6 + -18.8 -2w = -3.6 + -18.8 Combine like terms: -3.6 + -18.8 = -22.4 -2w = -22.4 Divide each side by '-2'. w = 11.2 Simplifying w = 11.2
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