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Simplifying 2(W + 5) + 4W = 4(3 + W) Reorder the terms: 2(5 + W) + 4W = 4(3 + W) (5 * 2 + W * 2) + 4W = 4(3 + W) (10 + 2W) + 4W = 4(3 + W) Combine like terms: 2W + 4W = 6W 10 + 6W = 4(3 + W) 10 + 6W = (3 * 4 + W * 4) 10 + 6W = (12 + 4W) Solving 10 + 6W = 12 + 4W Solving for variable 'W'. Move all terms containing W to the left, all other terms to the right. Add '-4W' to each side of the equation. 10 + 6W + -4W = 12 + 4W + -4W Combine like terms: 6W + -4W = 2W 10 + 2W = 12 + 4W + -4W Combine like terms: 4W + -4W = 0 10 + 2W = 12 + 0 10 + 2W = 12 Add '-10' to each side of the equation. 10 + -10 + 2W = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 2W = 12 + -10 2W = 12 + -10 Combine like terms: 12 + -10 = 2 2W = 2 Divide each side by '2'. W = 1 Simplifying W = 1
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