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Simplifying 4w + -24 = -4(w + -4) Reorder the terms: -24 + 4w = -4(w + -4) Reorder the terms: -24 + 4w = -4(-4 + w) -24 + 4w = (-4 * -4 + w * -4) -24 + 4w = (16 + -4w) Solving -24 + 4w = 16 + -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. -24 + 4w + 4w = 16 + -4w + 4w Combine like terms: 4w + 4w = 8w -24 + 8w = 16 + -4w + 4w Combine like terms: -4w + 4w = 0 -24 + 8w = 16 + 0 -24 + 8w = 16 Add '24' to each side of the equation. -24 + 24 + 8w = 16 + 24 Combine like terms: -24 + 24 = 0 0 + 8w = 16 + 24 8w = 16 + 24 Combine like terms: 16 + 24 = 40 8w = 40 Divide each side by '8'. w = 5 Simplifying w = 5
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