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Simplifying -5(3x + -2b) + 10 = 4 + 3ax Reorder the terms: -5(-2b + 3x) + 10 = 4 + 3ax (-2b * -5 + 3x * -5) + 10 = 4 + 3ax (10b + -15x) + 10 = 4 + 3ax Reorder the terms: 10 + 10b + -15x = 4 + 3ax Solving 10 + 10b + -15x = 4 + 3ax Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 10b + -10 + -15x = 4 + -10 + 3ax Reorder the terms: 10 + -10 + 10b + -15x = 4 + -10 + 3ax Combine like terms: 10 + -10 = 0 0 + 10b + -15x = 4 + -10 + 3ax 10b + -15x = 4 + -10 + 3ax Combine like terms: 4 + -10 = -6 10b + -15x = -6 + 3ax Add '15x' to each side of the equation. 10b + -15x + 15x = -6 + 3ax + 15x Combine like terms: -15x + 15x = 0 10b + 0 = -6 + 3ax + 15x 10b = -6 + 3ax + 15x Divide each side by '10'. b = -0.6 + 0.3ax + 1.5x Simplifying b = -0.6 + 0.3ax + 1.5x
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