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Simplifying 8w + -44 = 4(w + -8) Reorder the terms: -44 + 8w = 4(w + -8) Reorder the terms: -44 + 8w = 4(-8 + w) -44 + 8w = (-8 * 4 + w * 4) -44 + 8w = (-32 + 4w) Solving -44 + 8w = -32 + 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. -44 + 8w + -4w = -32 + 4w + -4w Combine like terms: 8w + -4w = 4w -44 + 4w = -32 + 4w + -4w Combine like terms: 4w + -4w = 0 -44 + 4w = -32 + 0 -44 + 4w = -32 Add '44' to each side of the equation. -44 + 44 + 4w = -32 + 44 Combine like terms: -44 + 44 = 0 0 + 4w = -32 + 44 4w = -32 + 44 Combine like terms: -32 + 44 = 12 4w = 12 Divide each side by '4'. w = 3 Simplifying w = 3
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