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Simplifying -4w + -16 = -8(w + -3) Reorder the terms: -16 + -4w = -8(w + -3) Reorder the terms: -16 + -4w = -8(-3 + w) -16 + -4w = (-3 * -8 + w * -8) -16 + -4w = (24 + -8w) Solving -16 + -4w = 24 + -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. -16 + -4w + 8w = 24 + -8w + 8w Combine like terms: -4w + 8w = 4w -16 + 4w = 24 + -8w + 8w Combine like terms: -8w + 8w = 0 -16 + 4w = 24 + 0 -16 + 4w = 24 Add '16' to each side of the equation. -16 + 16 + 4w = 24 + 16 Combine like terms: -16 + 16 = 0 0 + 4w = 24 + 16 4w = 24 + 16 Combine like terms: 24 + 16 = 40 4w = 40 Divide each side by '4'. w = 10 Simplifying w = 10
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