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Simplifying 1.4(w + 4) + 1.2w = 10 Reorder the terms: 1.4(4 + w) + 1.2w = 10 (4 * 1.4 + w * 1.4) + 1.2w = 10 (5.6 + 1.4w) + 1.2w = 10 Combine like terms: 1.4w + 1.2w = 2.6w 5.6 + 2.6w = 10 Solving 5.6 + 2.6w = 10 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5.6' to each side of the equation. 5.6 + -5.6 + 2.6w = 10 + -5.6 Combine like terms: 5.6 + -5.6 = 0.0 0.0 + 2.6w = 10 + -5.6 2.6w = 10 + -5.6 Combine like terms: 10 + -5.6 = 4.4 2.6w = 4.4 Divide each side by '2.6'. w = 1.692307692 Simplifying w = 1.692307692
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