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Simplifying 12b + 3b + 7 = 1 + 6b Reorder the terms: 7 + 12b + 3b = 1 + 6b Combine like terms: 12b + 3b = 15b 7 + 15b = 1 + 6b Solving 7 + 15b = 1 + 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. 7 + 15b + -6b = 1 + 6b + -6b Combine like terms: 15b + -6b = 9b 7 + 9b = 1 + 6b + -6b Combine like terms: 6b + -6b = 0 7 + 9b = 1 + 0 7 + 9b = 1 Add '-7' to each side of the equation. 7 + -7 + 9b = 1 + -7 Combine like terms: 7 + -7 = 0 0 + 9b = 1 + -7 9b = 1 + -7 Combine like terms: 1 + -7 = -6 9b = -6 Divide each side by '9'. b = -0.6666666667 Simplifying b = -0.6666666667
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