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