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Simplifying 9b + 4 + 9b + -7 = -8(1 + 7b) + -5(b + -1) Reorder the terms: 4 + -7 + 9b + 9b = -8(1 + 7b) + -5(b + -1) Combine like terms: 4 + -7 = -3 -3 + 9b + 9b = -8(1 + 7b) + -5(b + -1) Combine like terms: 9b + 9b = 18b -3 + 18b = -8(1 + 7b) + -5(b + -1) -3 + 18b = (1 * -8 + 7b * -8) + -5(b + -1) -3 + 18b = (-8 + -56b) + -5(b + -1) Reorder the terms: -3 + 18b = -8 + -56b + -5(-1 + b) -3 + 18b = -8 + -56b + (-1 * -5 + b * -5) -3 + 18b = -8 + -56b + (5 + -5b) Reorder the terms: -3 + 18b = -8 + 5 + -56b + -5b Combine like terms: -8 + 5 = -3 -3 + 18b = -3 + -56b + -5b Combine like terms: -56b + -5b = -61b -3 + 18b = -3 + -61b Add '3' to each side of the equation. -3 + 3 + 18b = -3 + 3 + -61b Combine like terms: -3 + 3 = 0 0 + 18b = -3 + 3 + -61b 18b = -3 + 3 + -61b Combine like terms: -3 + 3 = 0 18b = 0 + -61b 18b = -61b Solving 18b = -61b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '61b' to each side of the equation. 18b + 61b = -61b + 61b Combine like terms: 18b + 61b = 79b 79b = -61b + 61b Combine like terms: -61b + 61b = 0 79b = 0 Divide each side by '79'. b = 0 Simplifying b = 0
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