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Simplifying 2(5 + w) = 94 + -1w (5 * 2 + w * 2) = 94 + -1w (10 + 2w) = 94 + -1w Solving 10 + 2w = 94 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. 10 + 2w + w = 94 + -1w + w Combine like terms: 2w + w = 3w 10 + 3w = 94 + -1w + w Combine like terms: -1w + w = 0 10 + 3w = 94 + 0 10 + 3w = 94 Add '-10' to each side of the equation. 10 + -10 + 3w = 94 + -10 Combine like terms: 10 + -10 = 0 0 + 3w = 94 + -10 3w = 94 + -10 Combine like terms: 94 + -10 = 84 3w = 84 Divide each side by '3'. w = 28 Simplifying w = 28
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