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Simplifying 5(w + 2) = 7w Reorder the terms: 5(2 + w) = 7w (2 * 5 + w * 5) = 7w (10 + 5w) = 7w Solving 10 + 5w = 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 10 + 5w + -7w = 7w + -7w Combine like terms: 5w + -7w = -2w 10 + -2w = 7w + -7w Combine like terms: 7w + -7w = 0 10 + -2w = 0 Add '-10' to each side of the equation. 10 + -10 + -2w = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -2w = 0 + -10 -2w = 0 + -10 Combine like terms: 0 + -10 = -10 -2w = -10 Divide each side by '-2'. w = 5 Simplifying w = 5
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