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Simplifying -7[2B + -4] = 5[-2B + 6] Reorder the terms: -7[-4 + 2B] = 5[-2B + 6] [-4 * -7 + 2B * -7] = 5[-2B + 6] [28 + -14B] = 5[-2B + 6] Reorder the terms: 28 + -14B = 5[6 + -2B] 28 + -14B = [6 * 5 + -2B * 5] 28 + -14B = [30 + -10B] Solving 28 + -14B = 30 + -10B Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add '10B' to each side of the equation. 28 + -14B + 10B = 30 + -10B + 10B Combine like terms: -14B + 10B = -4B 28 + -4B = 30 + -10B + 10B Combine like terms: -10B + 10B = 0 28 + -4B = 30 + 0 28 + -4B = 30 Add '-28' to each side of the equation. 28 + -28 + -4B = 30 + -28 Combine like terms: 28 + -28 = 0 0 + -4B = 30 + -28 -4B = 30 + -28 Combine like terms: 30 + -28 = 2 -4B = 2 Divide each side by '-4'. B = -0.5 Simplifying B = -0.5
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