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Simplifying 3w + 7 = 2(w + 4) Reorder the terms: 7 + 3w = 2(w + 4) Reorder the terms: 7 + 3w = 2(4 + w) 7 + 3w = (4 * 2 + w * 2) 7 + 3w = (8 + 2w) Solving 7 + 3w = 8 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 7 + 3w + -2w = 8 + 2w + -2w Combine like terms: 3w + -2w = 1w 7 + 1w = 8 + 2w + -2w Combine like terms: 2w + -2w = 0 7 + 1w = 8 + 0 7 + 1w = 8 Add '-7' to each side of the equation. 7 + -7 + 1w = 8 + -7 Combine like terms: 7 + -7 = 0 0 + 1w = 8 + -7 1w = 8 + -7 Combine like terms: 8 + -7 = 1 1w = 1 Divide each side by '1'. w = 1 Simplifying w = 1
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