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Simplifying B + L + -223 = 1(L + 35) + -1B Reorder the terms: -223 + B + L = 1(L + 35) + -1B Reorder the terms: -223 + B + L = 1(35 + L) + -1B -223 + B + L = (35 * 1 + L * 1) + -1B -223 + B + L = (35 + 1L) + -1B Reorder the terms: -223 + B + L = 35 + -1B + 1L Solving -223 + B + L = 35 + -1B + 1L Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add 'B' to each side of the equation. -223 + B + B + L = 35 + -1B + B + 1L Combine like terms: B + B = 2B -223 + 2B + L = 35 + -1B + B + 1L Combine like terms: -1B + B = 0 -223 + 2B + L = 35 + 0 + 1L -223 + 2B + L = 35 + 1L Add '223' to each side of the equation. -223 + 2B + 223 + L = 35 + 223 + 1L Reorder the terms: -223 + 223 + 2B + L = 35 + 223 + 1L Combine like terms: -223 + 223 = 0 0 + 2B + L = 35 + 223 + 1L 2B + L = 35 + 223 + 1L Combine like terms: 35 + 223 = 258 2B + L = 258 + 1L Add '-1L' to each side of the equation. 2B + L + -1L = 258 + 1L + -1L Combine like terms: L + -1L = 0 2B + 0 = 258 + 1L + -1L 2B = 258 + 1L + -1L Combine like terms: 1L + -1L = 0 2B = 258 + 0 2B = 258 Divide each side by '2'. B = 129 Simplifying B = 129
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