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Simplifying 5(2w + 2) = 4(w + 7) Reorder the terms: 5(2 + 2w) = 4(w + 7) (2 * 5 + 2w * 5) = 4(w + 7) (10 + 10w) = 4(w + 7) Reorder the terms: 10 + 10w = 4(7 + w) 10 + 10w = (7 * 4 + w * 4) 10 + 10w = (28 + 4w) Solving 10 + 10w = 28 + 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 + 10w + -4w = 28 + 4w + -4w Combine like terms: 10w + -4w = 6w 10 + 6w = 28 + 4w + -4w Combine like terms: 4w + -4w = 0 10 + 6w = 28 + 0 10 + 6w = 28 Add '-10' to each side of the equation. 10 + -10 + 6w = 28 + -10 Combine like terms: 10 + -10 = 0 0 + 6w = 28 + -10 6w = 28 + -10 Combine like terms: 28 + -10 = 18 6w = 18 Divide each side by '6'. w = 3 Simplifying w = 3
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