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Simplifying 6(b + 1) = 12b + 2 Reorder the terms: 6(1 + b) = 12b + 2 (1 * 6 + b * 6) = 12b + 2 (6 + 6b) = 12b + 2 Reorder the terms: 6 + 6b = 2 + 12b Solving 6 + 6b = 2 + 12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12b' to each side of the equation. 6 + 6b + -12b = 2 + 12b + -12b Combine like terms: 6b + -12b = -6b 6 + -6b = 2 + 12b + -12b Combine like terms: 12b + -12b = 0 6 + -6b = 2 + 0 6 + -6b = 2 Add '-6' to each side of the equation. 6 + -6 + -6b = 2 + -6 Combine like terms: 6 + -6 = 0 0 + -6b = 2 + -6 -6b = 2 + -6 Combine like terms: 2 + -6 = -4 -6b = -4 Divide each side by '-6'. b = 0.6666666667 Simplifying b = 0.6666666667
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