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Simplifying 2w + -13 = 1 + 9w Reorder the terms: -13 + 2w = 1 + 9w Solving -13 + 2w = 1 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. -13 + 2w + -9w = 1 + 9w + -9w Combine like terms: 2w + -9w = -7w -13 + -7w = 1 + 9w + -9w Combine like terms: 9w + -9w = 0 -13 + -7w = 1 + 0 -13 + -7w = 1 Add '13' to each side of the equation. -13 + 13 + -7w = 1 + 13 Combine like terms: -13 + 13 = 0 0 + -7w = 1 + 13 -7w = 1 + 13 Combine like terms: 1 + 13 = 14 -7w = 14 Divide each side by '-7'. w = -2 Simplifying w = -2
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