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Simplifying 5(w + -2) = 4(w + 3) Reorder the terms: 5(-2 + w) = 4(w + 3) (-2 * 5 + w * 5) = 4(w + 3) (-10 + 5w) = 4(w + 3) Reorder the terms: -10 + 5w = 4(3 + w) -10 + 5w = (3 * 4 + w * 4) -10 + 5w = (12 + 4w) Solving -10 + 5w = 12 + 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. -10 + 5w + -4w = 12 + 4w + -4w Combine like terms: 5w + -4w = 1w -10 + 1w = 12 + 4w + -4w Combine like terms: 4w + -4w = 0 -10 + 1w = 12 + 0 -10 + 1w = 12 Add '10' to each side of the equation. -10 + 10 + 1w = 12 + 10 Combine like terms: -10 + 10 = 0 0 + 1w = 12 + 10 1w = 12 + 10 Combine like terms: 12 + 10 = 22 1w = 22 Divide each side by '1'. w = 22 Simplifying w = 22
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