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Simplifying 4(2 + -0.6w) = 24 + -2(0.8 + -2.4) (2 * 4 + -0.6w * 4) = 24 + -2(0.8 + -2.4) (8 + -2.4w) = 24 + -2(0.8 + -2.4) Combine like terms: 0.8 + -2.4 = -1.6 8 + -2.4w = 24 + -2(-1.6) Multiply -2 * -1.6 8 + -2.4w = 24 + 3.2 Combine like terms: 24 + 3.2 = 27.2 8 + -2.4w = 27.2 Solving 8 + -2.4w = 27.2 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -2.4w = 27.2 + -8 Combine like terms: 8 + -8 = 0 0 + -2.4w = 27.2 + -8 -2.4w = 27.2 + -8 Combine like terms: 27.2 + -8 = 19.2 -2.4w = 19.2 Divide each side by '-2.4'. w = -8 Simplifying w = -8
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