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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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