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Simplifying 39(b + 5) = 4(2b + -5) Reorder the terms: 39(5 + b) = 4(2b + -5) (5 * 39 + b * 39) = 4(2b + -5) (195 + 39b) = 4(2b + -5) Reorder the terms: 195 + 39b = 4(-5 + 2b) 195 + 39b = (-5 * 4 + 2b * 4) 195 + 39b = (-20 + 8b) Solving 195 + 39b = -20 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. 195 + 39b + -8b = -20 + 8b + -8b Combine like terms: 39b + -8b = 31b 195 + 31b = -20 + 8b + -8b Combine like terms: 8b + -8b = 0 195 + 31b = -20 + 0 195 + 31b = -20 Add '-195' to each side of the equation. 195 + -195 + 31b = -20 + -195 Combine like terms: 195 + -195 = 0 0 + 31b = -20 + -195 31b = -20 + -195 Combine like terms: -20 + -195 = -215 31b = -215 Divide each side by '31'. b = -6.935483871 Simplifying b = -6.935483871
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