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Simplifying 7b + 11 = 5(2b + 4) Reorder the terms: 11 + 7b = 5(2b + 4) Reorder the terms: 11 + 7b = 5(4 + 2b) 11 + 7b = (4 * 5 + 2b * 5) 11 + 7b = (20 + 10b) Solving 11 + 7b = 20 + 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. 11 + 7b + -10b = 20 + 10b + -10b Combine like terms: 7b + -10b = -3b 11 + -3b = 20 + 10b + -10b Combine like terms: 10b + -10b = 0 11 + -3b = 20 + 0 11 + -3b = 20 Add '-11' to each side of the equation. 11 + -11 + -3b = 20 + -11 Combine like terms: 11 + -11 = 0 0 + -3b = 20 + -11 -3b = 20 + -11 Combine like terms: 20 + -11 = 9 -3b = 9 Divide each side by '-3'. b = -3 Simplifying b = -3
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