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Simplifying -4w + 40 = -8(w + -2) Reorder the terms: 40 + -4w = -8(w + -2) Reorder the terms: 40 + -4w = -8(-2 + w) 40 + -4w = (-2 * -8 + w * -8) 40 + -4w = (16 + -8w) Solving 40 + -4w = 16 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. 40 + -4w + 8w = 16 + -8w + 8w Combine like terms: -4w + 8w = 4w 40 + 4w = 16 + -8w + 8w Combine like terms: -8w + 8w = 0 40 + 4w = 16 + 0 40 + 4w = 16 Add '-40' to each side of the equation. 40 + -40 + 4w = 16 + -40 Combine like terms: 40 + -40 = 0 0 + 4w = 16 + -40 4w = 16 + -40 Combine like terms: 16 + -40 = -24 4w = -24 Divide each side by '4'. w = -6 Simplifying w = -6
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