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Simplifying 4(-2 + 8B) = -8(4B + -5) + -5 (-2 * 4 + 8B * 4) = -8(4B + -5) + -5 (-8 + 32B) = -8(4B + -5) + -5 Reorder the terms: -8 + 32B = -8(-5 + 4B) + -5 -8 + 32B = (-5 * -8 + 4B * -8) + -5 -8 + 32B = (40 + -32B) + -5 Reorder the terms: -8 + 32B = 40 + -5 + -32B Combine like terms: 40 + -5 = 35 -8 + 32B = 35 + -32B Solving -8 + 32B = 35 + -32B Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add '32B' to each side of the equation. -8 + 32B + 32B = 35 + -32B + 32B Combine like terms: 32B + 32B = 64B -8 + 64B = 35 + -32B + 32B Combine like terms: -32B + 32B = 0 -8 + 64B = 35 + 0 -8 + 64B = 35 Add '8' to each side of the equation. -8 + 8 + 64B = 35 + 8 Combine like terms: -8 + 8 = 0 0 + 64B = 35 + 8 64B = 35 + 8 Combine like terms: 35 + 8 = 43 64B = 43 Divide each side by '64'. B = 0.671875 Simplifying B = 0.671875
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