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Simplifying 5(4b + 13) + 3(8b + -11) = 0 Reorder the terms: 5(13 + 4b) + 3(8b + -11) = 0 (13 * 5 + 4b * 5) + 3(8b + -11) = 0 (65 + 20b) + 3(8b + -11) = 0 Reorder the terms: 65 + 20b + 3(-11 + 8b) = 0 65 + 20b + (-11 * 3 + 8b * 3) = 0 65 + 20b + (-33 + 24b) = 0 Reorder the terms: 65 + -33 + 20b + 24b = 0 Combine like terms: 65 + -33 = 32 32 + 20b + 24b = 0 Combine like terms: 20b + 24b = 44b 32 + 44b = 0 Solving 32 + 44b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 44b = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 44b = 0 + -32 44b = 0 + -32 Combine like terms: 0 + -32 = -32 44b = -32 Divide each side by '44'. b = -0.7272727273 Simplifying b = -0.7272727273
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