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Simplifying 5(w + 1) = 7w + 23 Reorder the terms: 5(1 + w) = 7w + 23 (1 * 5 + w * 5) = 7w + 23 (5 + 5w) = 7w + 23 Reorder the terms: 5 + 5w = 23 + 7w Solving 5 + 5w = 23 + 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. 5 + 5w + -7w = 23 + 7w + -7w Combine like terms: 5w + -7w = -2w 5 + -2w = 23 + 7w + -7w Combine like terms: 7w + -7w = 0 5 + -2w = 23 + 0 5 + -2w = 23 Add '-5' to each side of the equation. 5 + -5 + -2w = 23 + -5 Combine like terms: 5 + -5 = 0 0 + -2w = 23 + -5 -2w = 23 + -5 Combine like terms: 23 + -5 = 18 -2w = 18 Divide each side by '-2'. w = -9 Simplifying w = -9
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