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Simplifying 2(b + 4) + -3 = -5b + 5(1 + -7b) Reorder the terms: 2(4 + b) + -3 = -5b + 5(1 + -7b) (4 * 2 + b * 2) + -3 = -5b + 5(1 + -7b) (8 + 2b) + -3 = -5b + 5(1 + -7b) Reorder the terms: 8 + -3 + 2b = -5b + 5(1 + -7b) Combine like terms: 8 + -3 = 5 5 + 2b = -5b + 5(1 + -7b) 5 + 2b = -5b + (1 * 5 + -7b * 5) 5 + 2b = -5b + (5 + -35b) Reorder the terms: 5 + 2b = 5 + -5b + -35b Combine like terms: -5b + -35b = -40b 5 + 2b = 5 + -40b Add '-5' to each side of the equation. 5 + -5 + 2b = 5 + -5 + -40b Combine like terms: 5 + -5 = 0 0 + 2b = 5 + -5 + -40b 2b = 5 + -5 + -40b Combine like terms: 5 + -5 = 0 2b = 0 + -40b 2b = -40b Solving 2b = -40b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '40b' to each side of the equation. 2b + 40b = -40b + 40b Combine like terms: 2b + 40b = 42b 42b = -40b + 40b Combine like terms: -40b + 40b = 0 42b = 0 Divide each side by '42'. b = 0 Simplifying b = 0
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