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Simplifying 4(2 + -0.6w) = 24 + -2(0.8w + -2.4) (2 * 4 + -0.6w * 4) = 24 + -2(0.8w + -2.4) (8 + -2.4w) = 24 + -2(0.8w + -2.4) Reorder the terms: 8 + -2.4w = 24 + -2(-2.4 + 0.8w) 8 + -2.4w = 24 + (-2.4 * -2 + 0.8w * -2) 8 + -2.4w = 24 + (4.8 + -1.6w) Combine like terms: 24 + 4.8 = 28.8 8 + -2.4w = 28.8 + -1.6w Solving 8 + -2.4w = 28.8 + -1.6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '1.6w' to each side of the equation. 8 + -2.4w + 1.6w = 28.8 + -1.6w + 1.6w Combine like terms: -2.4w + 1.6w = -0.8w 8 + -0.8w = 28.8 + -1.6w + 1.6w Combine like terms: -1.6w + 1.6w = 0.0 8 + -0.8w = 28.8 + 0.0 8 + -0.8w = 28.8 Add '-8' to each side of the equation. 8 + -8 + -0.8w = 28.8 + -8 Combine like terms: 8 + -8 = 0 0 + -0.8w = 28.8 + -8 -0.8w = 28.8 + -8 Combine like terms: 28.8 + -8 = 20.8 -0.8w = 20.8 Divide each side by '-0.8'. w = -26 Simplifying w = -26
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