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Simplifying -138 = -8b + -7(b + 9) Reorder the terms: -138 = -8b + -7(9 + b) -138 = -8b + (9 * -7 + b * -7) -138 = -8b + (-63 + -7b) Reorder the terms: -138 = -63 + -8b + -7b Combine like terms: -8b + -7b = -15b -138 = -63 + -15b Solving -138 = -63 + -15b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '15b' to each side of the equation. -138 + 15b = -63 + -15b + 15b Combine like terms: -15b + 15b = 0 -138 + 15b = -63 + 0 -138 + 15b = -63 Add '138' to each side of the equation. -138 + 138 + 15b = -63 + 138 Combine like terms: -138 + 138 = 0 0 + 15b = -63 + 138 15b = -63 + 138 Combine like terms: -63 + 138 = 75 15b = 75 Divide each side by '15'. b = 5 Simplifying b = 5
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