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Simplifying 2[w + -1(4w + 20) + 12] = 2(w + 8) Reorder the terms: 2[w + -1(20 + 4w) + 12] = 2(w + 8) 2[w + (20 * -1 + 4w * -1) + 12] = 2(w + 8) 2[w + (-20 + -4w) + 12] = 2(w + 8) Reorder the terms: 2[-20 + 12 + w + -4w] = 2(w + 8) Combine like terms: -20 + 12 = -8 2[-8 + w + -4w] = 2(w + 8) Combine like terms: w + -4w = -3w 2[-8 + -3w] = 2(w + 8) [-8 * 2 + -3w * 2] = 2(w + 8) [-16 + -6w] = 2(w + 8) Reorder the terms: -16 + -6w = 2(8 + w) -16 + -6w = (8 * 2 + w * 2) -16 + -6w = (16 + 2w) Solving -16 + -6w = 16 + 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. -16 + -6w + -2w = 16 + 2w + -2w Combine like terms: -6w + -2w = -8w -16 + -8w = 16 + 2w + -2w Combine like terms: 2w + -2w = 0 -16 + -8w = 16 + 0 -16 + -8w = 16 Add '16' to each side of the equation. -16 + 16 + -8w = 16 + 16 Combine like terms: -16 + 16 = 0 0 + -8w = 16 + 16 -8w = 16 + 16 Combine like terms: 16 + 16 = 32 -8w = 32 Divide each side by '-8'. w = -4 Simplifying w = -4
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