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Simplifying 6b + 2b = 5(b + 1) + -5(1 + 3b) Combine like terms: 6b + 2b = 8b 8b = 5(b + 1) + -5(1 + 3b) Reorder the terms: 8b = 5(1 + b) + -5(1 + 3b) 8b = (1 * 5 + b * 5) + -5(1 + 3b) 8b = (5 + 5b) + -5(1 + 3b) 8b = 5 + 5b + (1 * -5 + 3b * -5) 8b = 5 + 5b + (-5 + -15b) Reorder the terms: 8b = 5 + -5 + 5b + -15b Combine like terms: 5 + -5 = 0 8b = 0 + 5b + -15b 8b = 5b + -15b Combine like terms: 5b + -15b = -10b 8b = -10b Solving 8b = -10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '10b' to each side of the equation. 8b + 10b = -10b + 10b Combine like terms: 8b + 10b = 18b 18b = -10b + 10b Combine like terms: -10b + 10b = 0 18b = 0 Divide each side by '18'. b = 0 Simplifying b = 0
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