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Simplifying 2[3 + -1(2w + -5)] = 4(1 + -8w) Reorder the terms: 2[3 + -1(-5 + 2w)] = 4(1 + -8w) 2[3 + (-5 * -1 + 2w * -1)] = 4(1 + -8w) 2[3 + (5 + -2w)] = 4(1 + -8w) Combine like terms: 3 + 5 = 8 2[8 + -2w] = 4(1 + -8w) [8 * 2 + -2w * 2] = 4(1 + -8w) [16 + -4w] = 4(1 + -8w) 16 + -4w = (1 * 4 + -8w * 4) 16 + -4w = (4 + -32w) Solving 16 + -4w = 4 + -32w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '32w' to each side of the equation. 16 + -4w + 32w = 4 + -32w + 32w Combine like terms: -4w + 32w = 28w 16 + 28w = 4 + -32w + 32w Combine like terms: -32w + 32w = 0 16 + 28w = 4 + 0 16 + 28w = 4 Add '-16' to each side of the equation. 16 + -16 + 28w = 4 + -16 Combine like terms: 16 + -16 = 0 0 + 28w = 4 + -16 28w = 4 + -16 Combine like terms: 4 + -16 = -12 28w = -12 Divide each side by '28'. w = -0.4285714286 Simplifying w = -0.4285714286
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