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Simplifying 3(2B + -3) + B = -12 + B Reorder the terms: 3(-3 + 2B) + B = -12 + B (-3 * 3 + 2B * 3) + B = -12 + B (-9 + 6B) + B = -12 + B Combine like terms: 6B + B = 7B -9 + 7B = -12 + B Solving -9 + 7B = -12 + B Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add '-1B' to each side of the equation. -9 + 7B + -1B = -12 + B + -1B Combine like terms: 7B + -1B = 6B -9 + 6B = -12 + B + -1B Combine like terms: B + -1B = 0 -9 + 6B = -12 + 0 -9 + 6B = -12 Add '9' to each side of the equation. -9 + 9 + 6B = -12 + 9 Combine like terms: -9 + 9 = 0 0 + 6B = -12 + 9 6B = -12 + 9 Combine like terms: -12 + 9 = -3 6B = -3 Divide each side by '6'. B = -0.5 Simplifying B = -0.5
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