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Simplifying 5(6 + 8B) + 8(B + -5) = -10 (6 * 5 + 8B * 5) + 8(B + -5) = -10 (30 + 40B) + 8(B + -5) = -10 Reorder the terms: 30 + 40B + 8(-5 + B) = -10 30 + 40B + (-5 * 8 + B * 8) = -10 30 + 40B + (-40 + 8B) = -10 Reorder the terms: 30 + -40 + 40B + 8B = -10 Combine like terms: 30 + -40 = -10 -10 + 40B + 8B = -10 Combine like terms: 40B + 8B = 48B -10 + 48B = -10 Add '10' to each side of the equation. -10 + 10 + 48B = -10 + 10 Combine like terms: -10 + 10 = 0 0 + 48B = -10 + 10 48B = -10 + 10 Combine like terms: -10 + 10 = 0 48B = 0 Solving 48B = 0 Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Divide each side by '48'. B = 0 Simplifying B = 0
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