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Simplifying 1w + 13 = 11w + -7 Reorder the terms: 13 + 1w = 11w + -7 Reorder the terms: 13 + 1w = -7 + 11w Solving 13 + 1w = -7 + 11w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11w' to each side of the equation. 13 + 1w + -11w = -7 + 11w + -11w Combine like terms: 1w + -11w = -10w 13 + -10w = -7 + 11w + -11w Combine like terms: 11w + -11w = 0 13 + -10w = -7 + 0 13 + -10w = -7 Add '-13' to each side of the equation. 13 + -13 + -10w = -7 + -13 Combine like terms: 13 + -13 = 0 0 + -10w = -7 + -13 -10w = -7 + -13 Combine like terms: -7 + -13 = -20 -10w = -20 Divide each side by '-10'. w = 2 Simplifying w = 2
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