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Simplifying -7 + 4b = -13b + -13(b + -11) Reorder the terms: -7 + 4b = -13b + -13(-11 + b) -7 + 4b = -13b + (-11 * -13 + b * -13) -7 + 4b = -13b + (143 + -13b) Reorder the terms: -7 + 4b = 143 + -13b + -13b Combine like terms: -13b + -13b = -26b -7 + 4b = 143 + -26b Solving -7 + 4b = 143 + -26b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '26b' to each side of the equation. -7 + 4b + 26b = 143 + -26b + 26b Combine like terms: 4b + 26b = 30b -7 + 30b = 143 + -26b + 26b Combine like terms: -26b + 26b = 0 -7 + 30b = 143 + 0 -7 + 30b = 143 Add '7' to each side of the equation. -7 + 7 + 30b = 143 + 7 Combine like terms: -7 + 7 = 0 0 + 30b = 143 + 7 30b = 143 + 7 Combine like terms: 143 + 7 = 150 30b = 150 Divide each side by '30'. b = 5 Simplifying b = 5
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