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Simplifying 8(B + -6) = 4B Reorder the terms: 8(-6 + B) = 4B (-6 * 8 + B * 8) = 4B (-48 + 8B) = 4B Solving -48 + 8B = 4B Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add '-4B' to each side of the equation. -48 + 8B + -4B = 4B + -4B Combine like terms: 8B + -4B = 4B -48 + 4B = 4B + -4B Combine like terms: 4B + -4B = 0 -48 + 4B = 0 Add '48' to each side of the equation. -48 + 48 + 4B = 0 + 48 Combine like terms: -48 + 48 = 0 0 + 4B = 0 + 48 4B = 0 + 48 Combine like terms: 0 + 48 = 48 4B = 48 Divide each side by '4'. B = 12 Simplifying B = 12
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