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Simplifying 1 + -19w + -14 = 13 + 7w Reorder the terms: 1 + -14 + -19w = 13 + 7w Combine like terms: 1 + -14 = -13 -13 + -19w = 13 + 7w Solving -13 + -19w = 13 + 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. -13 + -19w + -7w = 13 + 7w + -7w Combine like terms: -19w + -7w = -26w -13 + -26w = 13 + 7w + -7w Combine like terms: 7w + -7w = 0 -13 + -26w = 13 + 0 -13 + -26w = 13 Add '13' to each side of the equation. -13 + 13 + -26w = 13 + 13 Combine like terms: -13 + 13 = 0 0 + -26w = 13 + 13 -26w = 13 + 13 Combine like terms: 13 + 13 = 26 -26w = 26 Divide each side by '-26'. w = -1 Simplifying w = -1
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