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Simplifying 7 + -1(b + 2) + -4b = 2(b + 10) Reorder the terms: 7 + -1(2 + b) + -4b = 2(b + 10) 7 + (2 * -1 + b * -1) + -4b = 2(b + 10) 7 + (-2 + -1b) + -4b = 2(b + 10) Combine like terms: 7 + -2 = 5 5 + -1b + -4b = 2(b + 10) Combine like terms: -1b + -4b = -5b 5 + -5b = 2(b + 10) Reorder the terms: 5 + -5b = 2(10 + b) 5 + -5b = (10 * 2 + b * 2) 5 + -5b = (20 + 2b) Solving 5 + -5b = 20 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 5 + -5b + -2b = 20 + 2b + -2b Combine like terms: -5b + -2b = -7b 5 + -7b = 20 + 2b + -2b Combine like terms: 2b + -2b = 0 5 + -7b = 20 + 0 5 + -7b = 20 Add '-5' to each side of the equation. 5 + -5 + -7b = 20 + -5 Combine like terms: 5 + -5 = 0 0 + -7b = 20 + -5 -7b = 20 + -5 Combine like terms: 20 + -5 = 15 -7b = 15 Divide each side by '-7'. b = -2.142857143 Simplifying b = -2.142857143
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