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Simplifying 7(W + 2) = 8(4 + -2W) Reorder the terms: 7(2 + W) = 8(4 + -2W) (2 * 7 + W * 7) = 8(4 + -2W) (14 + 7W) = 8(4 + -2W) 14 + 7W = (4 * 8 + -2W * 8) 14 + 7W = (32 + -16W) Solving 14 + 7W = 32 + -16W Solving for variable 'W'. Move all terms containing W to the left, all other terms to the right. Add '16W' to each side of the equation. 14 + 7W + 16W = 32 + -16W + 16W Combine like terms: 7W + 16W = 23W 14 + 23W = 32 + -16W + 16W Combine like terms: -16W + 16W = 0 14 + 23W = 32 + 0 14 + 23W = 32 Add '-14' to each side of the equation. 14 + -14 + 23W = 32 + -14 Combine like terms: 14 + -14 = 0 0 + 23W = 32 + -14 23W = 32 + -14 Combine like terms: 32 + -14 = 18 23W = 18 Divide each side by '23'. W = 0.7826086957 Simplifying W = 0.7826086957
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