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Simplifying B + -7[B + -6(3 + -1B)] = 270 B + -7[B + (3 * -6 + -1B * -6)] = 270 B + -7[B + (-18 + 6B)] = 270 Reorder the terms: B + -7[-18 + B + 6B] = 270 Combine like terms: B + 6B = 7B B + -7[-18 + 7B] = 270 B + [-18 * -7 + 7B * -7] = 270 B + [126 + -49B] = 270 Reorder the terms: 126 + B + -49B = 270 Combine like terms: B + -49B = -48B 126 + -48B = 270 Solving 126 + -48B = 270 Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add '-126' to each side of the equation. 126 + -126 + -48B = 270 + -126 Combine like terms: 126 + -126 = 0 0 + -48B = 270 + -126 -48B = 270 + -126 Combine like terms: 270 + -126 = 144 -48B = 144 Divide each side by '-48'. B = -3 Simplifying B = -3
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