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Simplifying 2.3(w + -8) + -7.4 = 1.8 Reorder the terms: 2.3(-8 + w) + -7.4 = 1.8 (-8 * 2.3 + w * 2.3) + -7.4 = 1.8 (-18.4 + 2.3w) + -7.4 = 1.8 Reorder the terms: -18.4 + -7.4 + 2.3w = 1.8 Combine like terms: -18.4 + -7.4 = -25.8 -25.8 + 2.3w = 1.8 Solving -25.8 + 2.3w = 1.8 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '25.8' to each side of the equation. -25.8 + 25.8 + 2.3w = 1.8 + 25.8 Combine like terms: -25.8 + 25.8 = 0.0 0.0 + 2.3w = 1.8 + 25.8 2.3w = 1.8 + 25.8 Combine like terms: 1.8 + 25.8 = 27.6 2.3w = 27.6 Divide each side by '2.3'. w = 12 Simplifying w = 12
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