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Simplifying 6w + -23 = 2(5 + 6) Reorder the terms: -23 + 6w = 2(5 + 6) Combine like terms: 5 + 6 = 11 -23 + 6w = 2(11) Multiply 2 * 11 -23 + 6w = 22 Solving -23 + 6w = 22 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 6w = 22 + 23 Combine like terms: -23 + 23 = 0 0 + 6w = 22 + 23 6w = 22 + 23 Combine like terms: 22 + 23 = 45 6w = 45 Divide each side by '6'. w = 7.5 Simplifying w = 7.5
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