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