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Simplifying -2[8 + -1(45 + -1w)] + -8 = 4(w + 5) -2[8 + (45 * -1 + -1w * -1)] + -8 = 4(w + 5) -2[8 + (-45 + 1w)] + -8 = 4(w + 5) Combine like terms: 8 + -45 = -37 -2[-37 + 1w] + -8 = 4(w + 5) [-37 * -2 + 1w * -2] + -8 = 4(w + 5) [74 + -2w] + -8 = 4(w + 5) Reorder the terms: 74 + -8 + -2w = 4(w + 5) Combine like terms: 74 + -8 = 66 66 + -2w = 4(w + 5) Reorder the terms: 66 + -2w = 4(5 + w) 66 + -2w = (5 * 4 + w * 4) 66 + -2w = (20 + 4w) Solving 66 + -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. 66 + -2w + -4w = 20 + 4w + -4w Combine like terms: -2w + -4w = -6w 66 + -6w = 20 + 4w + -4w Combine like terms: 4w + -4w = 0 66 + -6w = 20 + 0 66 + -6w = 20 Add '-66' to each side of the equation. 66 + -66 + -6w = 20 + -66 Combine like terms: 66 + -66 = 0 0 + -6w = 20 + -66 -6w = 20 + -66 Combine like terms: 20 + -66 = -46 -6w = -46 Divide each side by '-6'. w = 7.666666667 Simplifying w = 7.666666667
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