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Simplifying 3b + 11 = -1(2b + -6) Reorder the terms: 11 + 3b = -1(2b + -6) Reorder the terms: 11 + 3b = -1(-6 + 2b) 11 + 3b = (-6 * -1 + 2b * -1) 11 + 3b = (6 + -2b) Solving 11 + 3b = 6 + -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. 11 + 3b + 2b = 6 + -2b + 2b Combine like terms: 3b + 2b = 5b 11 + 5b = 6 + -2b + 2b Combine like terms: -2b + 2b = 0 11 + 5b = 6 + 0 11 + 5b = 6 Add '-11' to each side of the equation. 11 + -11 + 5b = 6 + -11 Combine like terms: 11 + -11 = 0 0 + 5b = 6 + -11 5b = 6 + -11 Combine like terms: 6 + -11 = -5 5b = -5 Divide each side by '5'. b = -1 Simplifying b = -1
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