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Simplifying 4(2b + 1) = 3b + -11 Reorder the terms: 4(1 + 2b) = 3b + -11 (1 * 4 + 2b * 4) = 3b + -11 (4 + 8b) = 3b + -11 Reorder the terms: 4 + 8b = -11 + 3b Solving 4 + 8b = -11 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 4 + 8b + -3b = -11 + 3b + -3b Combine like terms: 8b + -3b = 5b 4 + 5b = -11 + 3b + -3b Combine like terms: 3b + -3b = 0 4 + 5b = -11 + 0 4 + 5b = -11 Add '-4' to each side of the equation. 4 + -4 + 5b = -11 + -4 Combine like terms: 4 + -4 = 0 0 + 5b = -11 + -4 5b = -11 + -4 Combine like terms: -11 + -4 = -15 5b = -15 Divide each side by '5'. b = -3 Simplifying b = -3
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