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Simplifying 4 + 3(b + 4) = -5(2b + -11) Reorder the terms: 4 + 3(4 + b) = -5(2b + -11) 4 + (4 * 3 + b * 3) = -5(2b + -11) 4 + (12 + 3b) = -5(2b + -11) Combine like terms: 4 + 12 = 16 16 + 3b = -5(2b + -11) Reorder the terms: 16 + 3b = -5(-11 + 2b) 16 + 3b = (-11 * -5 + 2b * -5) 16 + 3b = (55 + -10b) Solving 16 + 3b = 55 + -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. 16 + 3b + 10b = 55 + -10b + 10b Combine like terms: 3b + 10b = 13b 16 + 13b = 55 + -10b + 10b Combine like terms: -10b + 10b = 0 16 + 13b = 55 + 0 16 + 13b = 55 Add '-16' to each side of the equation. 16 + -16 + 13b = 55 + -16 Combine like terms: 16 + -16 = 0 0 + 13b = 55 + -16 13b = 55 + -16 Combine like terms: 55 + -16 = 39 13b = 39 Divide each side by '13'. b = 3 Simplifying b = 3
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