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Simplifying 8(2b + 3) + 4(b + -5) = 0 Reorder the terms: 8(3 + 2b) + 4(b + -5) = 0 (3 * 8 + 2b * 8) + 4(b + -5) = 0 (24 + 16b) + 4(b + -5) = 0 Reorder the terms: 24 + 16b + 4(-5 + b) = 0 24 + 16b + (-5 * 4 + b * 4) = 0 24 + 16b + (-20 + 4b) = 0 Reorder the terms: 24 + -20 + 16b + 4b = 0 Combine like terms: 24 + -20 = 4 4 + 16b + 4b = 0 Combine like terms: 16b + 4b = 20b 4 + 20b = 0 Solving 4 + 20b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 20b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 20b = 0 + -4 20b = 0 + -4 Combine like terms: 0 + -4 = -4 20b = -4 Divide each side by '20'. b = -0.2 Simplifying b = -0.2
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