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Simplifying 6 + -1(3b + 1) = 5(-2b + -2) Reorder the terms: 6 + -1(1 + 3b) = 5(-2b + -2) 6 + (1 * -1 + 3b * -1) = 5(-2b + -2) 6 + (-1 + -3b) = 5(-2b + -2) Combine like terms: 6 + -1 = 5 5 + -3b = 5(-2b + -2) Reorder the terms: 5 + -3b = 5(-2 + -2b) 5 + -3b = (-2 * 5 + -2b * 5) 5 + -3b = (-10 + -10b) Solving 5 + -3b = -10 + -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. 5 + -3b + 10b = -10 + -10b + 10b Combine like terms: -3b + 10b = 7b 5 + 7b = -10 + -10b + 10b Combine like terms: -10b + 10b = 0 5 + 7b = -10 + 0 5 + 7b = -10 Add '-5' to each side of the equation. 5 + -5 + 7b = -10 + -5 Combine like terms: 5 + -5 = 0 0 + 7b = -10 + -5 7b = -10 + -5 Combine like terms: -10 + -5 = -15 7b = -15 Divide each side by '7'. b = -2.142857143 Simplifying b = -2.142857143
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