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Simplifying -39 + 3B = 6(-4B + 7) Reorder the terms: -39 + 3B = 6(7 + -4B) -39 + 3B = (7 * 6 + -4B * 6) -39 + 3B = (42 + -24B) Solving -39 + 3B = 42 + -24B Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add '24B' to each side of the equation. -39 + 3B + 24B = 42 + -24B + 24B Combine like terms: 3B + 24B = 27B -39 + 27B = 42 + -24B + 24B Combine like terms: -24B + 24B = 0 -39 + 27B = 42 + 0 -39 + 27B = 42 Add '39' to each side of the equation. -39 + 39 + 27B = 42 + 39 Combine like terms: -39 + 39 = 0 0 + 27B = 42 + 39 27B = 42 + 39 Combine like terms: 42 + 39 = 81 27B = 81 Divide each side by '27'. B = 3 Simplifying B = 3
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