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Simplifying B + 1 + -3b = 2(3b + -2) + -7b Reorder the terms: 1 + B + -3b = 2(3b + -2) + -7b Reorder the terms: 1 + B + -3b = 2(-2 + 3b) + -7b 1 + B + -3b = (-2 * 2 + 3b * 2) + -7b 1 + B + -3b = (-4 + 6b) + -7b Combine like terms: 6b + -7b = -1b 1 + B + -3b = -4 + -1b Solving 1 + B + -3b = -4 + -1b Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + B + -1 + -3b = -4 + -1 + -1b Reorder the terms: 1 + -1 + B + -3b = -4 + -1 + -1b Combine like terms: 1 + -1 = 0 0 + B + -3b = -4 + -1 + -1b B + -3b = -4 + -1 + -1b Combine like terms: -4 + -1 = -5 B + -3b = -5 + -1b Add '3b' to each side of the equation. B + -3b + 3b = -5 + -1b + 3b Combine like terms: -3b + 3b = 0 B + 0 = -5 + -1b + 3b B = -5 + -1b + 3b Combine like terms: -1b + 3b = 2b B = -5 + 2b Simplifying B = -5 + 2b
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