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Simplifying 5(B + -4) = 3B + -6 Reorder the terms: 5(-4 + B) = 3B + -6 (-4 * 5 + B * 5) = 3B + -6 (-20 + 5B) = 3B + -6 Reorder the terms: -20 + 5B = -6 + 3B Solving -20 + 5B = -6 + 3B Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add '-3B' to each side of the equation. -20 + 5B + -3B = -6 + 3B + -3B Combine like terms: 5B + -3B = 2B -20 + 2B = -6 + 3B + -3B Combine like terms: 3B + -3B = 0 -20 + 2B = -6 + 0 -20 + 2B = -6 Add '20' to each side of the equation. -20 + 20 + 2B = -6 + 20 Combine like terms: -20 + 20 = 0 0 + 2B = -6 + 20 2B = -6 + 20 Combine like terms: -6 + 20 = 14 2B = 14 Divide each side by '2'. B = 7 Simplifying B = 7
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