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Simplifying (15b + -7) + -7(2b + 1) = -5 Reorder the terms: (-7 + 15b) + -7(2b + 1) = -5 Remove parenthesis around (-7 + 15b) -7 + 15b + -7(2b + 1) = -5 Reorder the terms: -7 + 15b + -7(1 + 2b) = -5 -7 + 15b + (1 * -7 + 2b * -7) = -5 -7 + 15b + (-7 + -14b) = -5 Reorder the terms: -7 + -7 + 15b + -14b = -5 Combine like terms: -7 + -7 = -14 -14 + 15b + -14b = -5 Combine like terms: 15b + -14b = 1b -14 + 1b = -5 Solving -14 + 1b = -5 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 1b = -5 + 14 Combine like terms: -14 + 14 = 0 0 + 1b = -5 + 14 1b = -5 + 14 Combine like terms: -5 + 14 = 9 1b = 9 Divide each side by '1'. b = 9 Simplifying b = 9
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