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Simplifying 4(x + -1b) = ax + 2b Reorder the terms: 4(-1b + x) = ax + 2b (-1b * 4 + x * 4) = ax + 2b (-4b + 4x) = ax + 2b Solving -4b + 4x = ax + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -4b + -2b + 4x = ax + 2b + -2b Combine like terms: -4b + -2b = -6b -6b + 4x = ax + 2b + -2b Combine like terms: 2b + -2b = 0 -6b + 4x = ax + 0 -6b + 4x = ax Add '-4x' to each side of the equation. -6b + 4x + -4x = ax + -4x Combine like terms: 4x + -4x = 0 -6b + 0 = ax + -4x -6b = ax + -4x Divide each side by '-6'. b = -0.1666666667ax + 0.6666666667x Simplifying b = -0.1666666667ax + 0.6666666667x
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