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Simplifying -3(3B + 5) = -6(B + -4) Reorder the terms: -3(5 + 3B) = -6(B + -4) (5 * -3 + 3B * -3) = -6(B + -4) (-15 + -9B) = -6(B + -4) Reorder the terms: -15 + -9B = -6(-4 + B) -15 + -9B = (-4 * -6 + B * -6) -15 + -9B = (24 + -6B) Solving -15 + -9B = 24 + -6B Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add '6B' to each side of the equation. -15 + -9B + 6B = 24 + -6B + 6B Combine like terms: -9B + 6B = -3B -15 + -3B = 24 + -6B + 6B Combine like terms: -6B + 6B = 0 -15 + -3B = 24 + 0 -15 + -3B = 24 Add '15' to each side of the equation. -15 + 15 + -3B = 24 + 15 Combine like terms: -15 + 15 = 0 0 + -3B = 24 + 15 -3B = 24 + 15 Combine like terms: 24 + 15 = 39 -3B = 39 Divide each side by '-3'. B = -13 Simplifying B = -13
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