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Simplifying (15b + -2) + -7(2b + 1) = -5 Reorder the terms: (-2 + 15b) + -7(2b + 1) = -5 Remove parenthesis around (-2 + 15b) -2 + 15b + -7(2b + 1) = -5 Reorder the terms: -2 + 15b + -7(1 + 2b) = -5 -2 + 15b + (1 * -7 + 2b * -7) = -5 -2 + 15b + (-7 + -14b) = -5 Reorder the terms: -2 + -7 + 15b + -14b = -5 Combine like terms: -2 + -7 = -9 -9 + 15b + -14b = -5 Combine like terms: 15b + -14b = 1b -9 + 1b = -5 Solving -9 + 1b = -5 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 1b = -5 + 9 Combine like terms: -9 + 9 = 0 0 + 1b = -5 + 9 1b = -5 + 9 Combine like terms: -5 + 9 = 4 1b = 4 Divide each side by '1'. b = 4 Simplifying b = 4
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