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Simplifying 5(w + 2) + -3 = 4w + 5 Reorder the terms: 5(2 + w) + -3 = 4w + 5 (2 * 5 + w * 5) + -3 = 4w + 5 (10 + 5w) + -3 = 4w + 5 Reorder the terms: 10 + -3 + 5w = 4w + 5 Combine like terms: 10 + -3 = 7 7 + 5w = 4w + 5 Reorder the terms: 7 + 5w = 5 + 4w Solving 7 + 5w = 5 + 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. 7 + 5w + -4w = 5 + 4w + -4w Combine like terms: 5w + -4w = 1w 7 + 1w = 5 + 4w + -4w Combine like terms: 4w + -4w = 0 7 + 1w = 5 + 0 7 + 1w = 5 Add '-7' to each side of the equation. 7 + -7 + 1w = 5 + -7 Combine like terms: 7 + -7 = 0 0 + 1w = 5 + -7 1w = 5 + -7 Combine like terms: 5 + -7 = -2 1w = -2 Divide each side by '1'. w = -2 Simplifying w = -2
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