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Simplifying 3 + -1(b + 5) + -2b + 7 = b + -11 Reorder the terms: 3 + -1(5 + b) + -2b + 7 = b + -11 3 + (5 * -1 + b * -1) + -2b + 7 = b + -11 3 + (-5 + -1b) + -2b + 7 = b + -11 Reorder the terms: 3 + -5 + 7 + -1b + -2b = b + -11 Combine like terms: 3 + -5 = -2 -2 + 7 + -1b + -2b = b + -11 Combine like terms: -2 + 7 = 5 5 + -1b + -2b = b + -11 Combine like terms: -1b + -2b = -3b 5 + -3b = b + -11 Reorder the terms: 5 + -3b = -11 + b Solving 5 + -3b = -11 + b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 5 + -3b + -1b = -11 + b + -1b Combine like terms: -3b + -1b = -4b 5 + -4b = -11 + b + -1b Combine like terms: b + -1b = 0 5 + -4b = -11 + 0 5 + -4b = -11 Add '-5' to each side of the equation. 5 + -5 + -4b = -11 + -5 Combine like terms: 5 + -5 = 0 0 + -4b = -11 + -5 -4b = -11 + -5 Combine like terms: -11 + -5 = -16 -4b = -16 Divide each side by '-4'. b = 4 Simplifying b = 4
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