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Simplifying 5w + -24 = 4(w + 16) Reorder the terms: -24 + 5w = 4(w + 16) Reorder the terms: -24 + 5w = 4(16 + w) -24 + 5w = (16 * 4 + w * 4) -24 + 5w = (64 + 4w) Solving -24 + 5w = 64 + 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 + 5w + -4w = 64 + 4w + -4w Combine like terms: 5w + -4w = 1w -24 + 1w = 64 + 4w + -4w Combine like terms: 4w + -4w = 0 -24 + 1w = 64 + 0 -24 + 1w = 64 Add '24' to each side of the equation. -24 + 24 + 1w = 64 + 24 Combine like terms: -24 + 24 = 0 0 + 1w = 64 + 24 1w = 64 + 24 Combine like terms: 64 + 24 = 88 1w = 88 Divide each side by '1'. w = 88 Simplifying w = 88
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