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Simplifying 2w + 12 = 7(w + 1) Reorder the terms: 12 + 2w = 7(w + 1) Reorder the terms: 12 + 2w = 7(1 + w) 12 + 2w = (1 * 7 + w * 7) 12 + 2w = (7 + 7w) Solving 12 + 2w = 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. 12 + 2w + -7w = 7 + 7w + -7w Combine like terms: 2w + -7w = -5w 12 + -5w = 7 + 7w + -7w Combine like terms: 7w + -7w = 0 12 + -5w = 7 + 0 12 + -5w = 7 Add '-12' to each side of the equation. 12 + -12 + -5w = 7 + -12 Combine like terms: 12 + -12 = 0 0 + -5w = 7 + -12 -5w = 7 + -12 Combine like terms: 7 + -12 = -5 -5w = -5 Divide each side by '-5'. w = 1 Simplifying w = 1
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