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Simplifying -5(3x + -6b) + 12 = 8 + 3ax Reorder the terms: -5(-6b + 3x) + 12 = 8 + 3ax (-6b * -5 + 3x * -5) + 12 = 8 + 3ax (30b + -15x) + 12 = 8 + 3ax Reorder the terms: 12 + 30b + -15x = 8 + 3ax Solving 12 + 30b + -15x = 8 + 3ax Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 30b + -12 + -15x = 8 + -12 + 3ax Reorder the terms: 12 + -12 + 30b + -15x = 8 + -12 + 3ax Combine like terms: 12 + -12 = 0 0 + 30b + -15x = 8 + -12 + 3ax 30b + -15x = 8 + -12 + 3ax Combine like terms: 8 + -12 = -4 30b + -15x = -4 + 3ax Add '15x' to each side of the equation. 30b + -15x + 15x = -4 + 3ax + 15x Combine like terms: -15x + 15x = 0 30b + 0 = -4 + 3ax + 15x 30b = -4 + 3ax + 15x Divide each side by '30'. b = -0.1333333333 + 0.1ax + 0.5x Simplifying b = -0.1333333333 + 0.1ax + 0.5x
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