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Simplifying 38 + -7b = 2(3b + 6) Reorder the terms: 38 + -7b = 2(6 + 3b) 38 + -7b = (6 * 2 + 3b * 2) 38 + -7b = (12 + 6b) Solving 38 + -7b = 12 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. 38 + -7b + -6b = 12 + 6b + -6b Combine like terms: -7b + -6b = -13b 38 + -13b = 12 + 6b + -6b Combine like terms: 6b + -6b = 0 38 + -13b = 12 + 0 38 + -13b = 12 Add '-38' to each side of the equation. 38 + -38 + -13b = 12 + -38 Combine like terms: 38 + -38 = 0 0 + -13b = 12 + -38 -13b = 12 + -38 Combine like terms: 12 + -38 = -26 -13b = -26 Divide each side by '-13'. b = 2 Simplifying b = 2
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