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Simplifying w + 1 = 8w + -13 Reorder the terms: 1 + w = 8w + -13 Reorder the terms: 1 + w = -13 + 8w Solving 1 + w = -13 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 1 + w + -8w = -13 + 8w + -8w Combine like terms: w + -8w = -7w 1 + -7w = -13 + 8w + -8w Combine like terms: 8w + -8w = 0 1 + -7w = -13 + 0 1 + -7w = -13 Add '-1' to each side of the equation. 1 + -1 + -7w = -13 + -1 Combine like terms: 1 + -1 = 0 0 + -7w = -13 + -1 -7w = -13 + -1 Combine like terms: -13 + -1 = -14 -7w = -14 Divide each side by '-7'. w = 2 Simplifying w = 2
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