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Simplifying -2[8 + -1(4 + -1w)] + -8 = 4(w + 5) -2[8 + (4 * -1 + -1w * -1)] + -8 = 4(w + 5) -2[8 + (-4 + 1w)] + -8 = 4(w + 5) Combine like terms: 8 + -4 = 4 -2[4 + 1w] + -8 = 4(w + 5) [4 * -2 + 1w * -2] + -8 = 4(w + 5) [-8 + -2w] + -8 = 4(w + 5) Reorder the terms: -8 + -8 + -2w = 4(w + 5) Combine like terms: -8 + -8 = -16 -16 + -2w = 4(w + 5) Reorder the terms: -16 + -2w = 4(5 + w) -16 + -2w = (5 * 4 + w * 4) -16 + -2w = (20 + 4w) Solving -16 + -2w = 20 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -16 + -2w + -4w = 20 + 4w + -4w Combine like terms: -2w + -4w = -6w -16 + -6w = 20 + 4w + -4w Combine like terms: 4w + -4w = 0 -16 + -6w = 20 + 0 -16 + -6w = 20 Add '16' to each side of the equation. -16 + 16 + -6w = 20 + 16 Combine like terms: -16 + 16 = 0 0 + -6w = 20 + 16 -6w = 20 + 16 Combine like terms: 20 + 16 = 36 -6w = 36 Divide each side by '-6'. w = -6 Simplifying w = -6
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