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Simplifying 6 + -2(2W + 1) = 9W + -2(9 + W) Reorder the terms: 6 + -2(1 + 2W) = 9W + -2(9 + W) 6 + (1 * -2 + 2W * -2) = 9W + -2(9 + W) 6 + (-2 + -4W) = 9W + -2(9 + W) Combine like terms: 6 + -2 = 4 4 + -4W = 9W + -2(9 + W) 4 + -4W = 9W + (9 * -2 + W * -2) 4 + -4W = 9W + (-18 + -2W) Reorder the terms: 4 + -4W = -18 + 9W + -2W Combine like terms: 9W + -2W = 7W 4 + -4W = -18 + 7W Solving 4 + -4W = -18 + 7W Solving for variable 'W'. Move all terms containing W to the left, all other terms to the right. Add '-7W' to each side of the equation. 4 + -4W + -7W = -18 + 7W + -7W Combine like terms: -4W + -7W = -11W 4 + -11W = -18 + 7W + -7W Combine like terms: 7W + -7W = 0 4 + -11W = -18 + 0 4 + -11W = -18 Add '-4' to each side of the equation. 4 + -4 + -11W = -18 + -4 Combine like terms: 4 + -4 = 0 0 + -11W = -18 + -4 -11W = -18 + -4 Combine like terms: -18 + -4 = -22 -11W = -22 Divide each side by '-11'. W = 2 Simplifying W = 2
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