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Simplifying -38 + -2b = -9b + 5(1 + 10b) -38 + -2b = -9b + (1 * 5 + 10b * 5) -38 + -2b = -9b + (5 + 50b) Reorder the terms: -38 + -2b = 5 + -9b + 50b Combine like terms: -9b + 50b = 41b -38 + -2b = 5 + 41b Solving -38 + -2b = 5 + 41b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-41b' to each side of the equation. -38 + -2b + -41b = 5 + 41b + -41b Combine like terms: -2b + -41b = -43b -38 + -43b = 5 + 41b + -41b Combine like terms: 41b + -41b = 0 -38 + -43b = 5 + 0 -38 + -43b = 5 Add '38' to each side of the equation. -38 + 38 + -43b = 5 + 38 Combine like terms: -38 + 38 = 0 0 + -43b = 5 + 38 -43b = 5 + 38 Combine like terms: 5 + 38 = 43 -43b = 43 Divide each side by '-43'. b = -1 Simplifying b = -1
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