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Simplifying 2(3w + -7) + 2w = 86 Reorder the terms: 2(-7 + 3w) + 2w = 86 (-7 * 2 + 3w * 2) + 2w = 86 (-14 + 6w) + 2w = 86 Combine like terms: 6w + 2w = 8w -14 + 8w = 86 Solving -14 + 8w = 86 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 8w = 86 + 14 Combine like terms: -14 + 14 = 0 0 + 8w = 86 + 14 8w = 86 + 14 Combine like terms: 86 + 14 = 100 8w = 100 Divide each side by '8'. w = 12.5 Simplifying w = 12.5
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