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Simplifying 5(3x + -2b) = 2x + -1b Reorder the terms: 5(-2b + 3x) = 2x + -1b (-2b * 5 + 3x * 5) = 2x + -1b (-10b + 15x) = 2x + -1b Reorder the terms: -10b + 15x = -1b + 2x Solving -10b + 15x = -1b + 2x Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. -10b + b + 15x = -1b + b + 2x Combine like terms: -10b + b = -9b -9b + 15x = -1b + b + 2x Combine like terms: -1b + b = 0 -9b + 15x = 0 + 2x -9b + 15x = 2x Add '-15x' to each side of the equation. -9b + 15x + -15x = 2x + -15x Combine like terms: 15x + -15x = 0 -9b + 0 = 2x + -15x -9b = 2x + -15x Combine like terms: 2x + -15x = -13x -9b = -13x Divide each side by '-9'. b = 1.444444444x Simplifying b = 1.444444444x
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