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Simplifying 138 = 6(2b + 7) Reorder the terms: 138 = 6(7 + 2b) 138 = (7 * 6 + 2b * 6) 138 = (42 + 12b) Solving 138 = 42 + 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. 138 + -12b = 42 + 12b + -12b Combine like terms: 12b + -12b = 0 138 + -12b = 42 + 0 138 + -12b = 42 Add '-138' to each side of the equation. 138 + -138 + -12b = 42 + -138 Combine like terms: 138 + -138 = 0 0 + -12b = 42 + -138 -12b = 42 + -138 Combine like terms: 42 + -138 = -96 -12b = -96 Divide each side by '-12'. b = 8 Simplifying b = 8
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