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Simplifying 7(2w + -23) = 3w + 10 Reorder the terms: 7(-23 + 2w) = 3w + 10 (-23 * 7 + 2w * 7) = 3w + 10 (-161 + 14w) = 3w + 10 Reorder the terms: -161 + 14w = 10 + 3w Solving -161 + 14w = 10 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -161 + 14w + -3w = 10 + 3w + -3w Combine like terms: 14w + -3w = 11w -161 + 11w = 10 + 3w + -3w Combine like terms: 3w + -3w = 0 -161 + 11w = 10 + 0 -161 + 11w = 10 Add '161' to each side of the equation. -161 + 161 + 11w = 10 + 161 Combine like terms: -161 + 161 = 0 0 + 11w = 10 + 161 11w = 10 + 161 Combine like terms: 10 + 161 = 171 11w = 171 Divide each side by '11'. w = 15.54545455 Simplifying w = 15.54545455
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