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Simplifying 7(w + -83) + -14 = 84 Reorder the terms: 7(-83 + w) + -14 = 84 (-83 * 7 + w * 7) + -14 = 84 (-581 + 7w) + -14 = 84 Reorder the terms: -581 + -14 + 7w = 84 Combine like terms: -581 + -14 = -595 -595 + 7w = 84 Solving -595 + 7w = 84 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '595' to each side of the equation. -595 + 595 + 7w = 84 + 595 Combine like terms: -595 + 595 = 0 0 + 7w = 84 + 595 7w = 84 + 595 Combine like terms: 84 + 595 = 679 7w = 679 Divide each side by '7'. w = 97 Simplifying w = 97
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