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Simplifying ax + -2(3x + -5) = b Reorder the terms: ax + -2(-5 + 3x) = b ax + (-5 * -2 + 3x * -2) = b ax + (10 + -6x) = b Reorder the terms: 10 + ax + -6x = b Solving 10 + ax + -6x = b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + ax + -10 + -6x = -10 + b Reorder the terms: 10 + -10 + ax + -6x = -10 + b Combine like terms: 10 + -10 = 0 0 + ax + -6x = -10 + b ax + -6x = -10 + b Add '6x' to each side of the equation. ax + -6x + 6x = -10 + b + 6x Combine like terms: -6x + 6x = 0 ax + 0 = -10 + b + 6x ax = -10 + b + 6x Divide each side by 'x'. a = -10x-1 + bx-1 + 6 Simplifying a = -10x-1 + bx-1 + 6 Reorder the terms: a = 6 + bx-1 + -10x-1
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