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Simplifying 84 = 2(23) + 2(w) Multiply 2 * 23 84 = 46 + 2(w) Solving 84 = 46 + 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. 84 + -2w = 46 + 2w + -2w Combine like terms: 2w + -2w = 0 84 + -2w = 46 + 0 84 + -2w = 46 Add '-84' to each side of the equation. 84 + -84 + -2w = 46 + -84 Combine like terms: 84 + -84 = 0 0 + -2w = 46 + -84 -2w = 46 + -84 Combine like terms: 46 + -84 = -38 -2w = -38 Divide each side by '-2'. w = 19 Simplifying w = 19
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