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Simplifying 3 + -1(4W + 1) = 4(8w + 4) + -10 Reorder the terms: 3 + -1(1 + 4W) = 4(8w + 4) + -10 3 + (1 * -1 + 4W * -1) = 4(8w + 4) + -10 3 + (-1 + -4W) = 4(8w + 4) + -10 Combine like terms: 3 + -1 = 2 2 + -4W = 4(8w + 4) + -10 Reorder the terms: 2 + -4W = 4(4 + 8w) + -10 2 + -4W = (4 * 4 + 8w * 4) + -10 2 + -4W = (16 + 32w) + -10 Reorder the terms: 2 + -4W = 16 + -10 + 32w Combine like terms: 16 + -10 = 6 2 + -4W = 6 + 32w Solving 2 + -4W = 6 + 32w Solving for variable 'W'. Move all terms containing W to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -4W = 6 + -2 + 32w Combine like terms: 2 + -2 = 0 0 + -4W = 6 + -2 + 32w -4W = 6 + -2 + 32w Combine like terms: 6 + -2 = 4 -4W = 4 + 32w Divide each side by '-4'. W = -1 + -8w Simplifying W = -1 + -8w
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