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Simplifying 5(6 + -2B) + 3B = 15 (6 * 5 + -2B * 5) + 3B = 15 (30 + -10B) + 3B = 15 Combine like terms: -10B + 3B = -7B 30 + -7B = 15 Solving 30 + -7B = 15 Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -7B = 15 + -30 Combine like terms: 30 + -30 = 0 0 + -7B = 15 + -30 -7B = 15 + -30 Combine like terms: 15 + -30 = -15 -7B = -15 Divide each side by '-7'. B = 2.142857143 Simplifying B = 2.142857143
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