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Simplifying 82 = 7(w + 5) + -2 Reorder the terms: 82 = 7(5 + w) + -2 82 = (5 * 7 + w * 7) + -2 82 = (35 + 7w) + -2 Reorder the terms: 82 = 35 + -2 + 7w Combine like terms: 35 + -2 = 33 82 = 33 + 7w Solving 82 = 33 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 82 + -7w = 33 + 7w + -7w Combine like terms: 7w + -7w = 0 82 + -7w = 33 + 0 82 + -7w = 33 Add '-82' to each side of the equation. 82 + -82 + -7w = 33 + -82 Combine like terms: 82 + -82 = 0 0 + -7w = 33 + -82 -7w = 33 + -82 Combine like terms: 33 + -82 = -49 -7w = -49 Divide each side by '-7'. w = 7 Simplifying w = 7
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