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Simplifying (15b + -9) + -7(2b + 3) = -5 Reorder the terms: (-9 + 15b) + -7(2b + 3) = -5 Remove parenthesis around (-9 + 15b) -9 + 15b + -7(2b + 3) = -5 Reorder the terms: -9 + 15b + -7(3 + 2b) = -5 -9 + 15b + (3 * -7 + 2b * -7) = -5 -9 + 15b + (-21 + -14b) = -5 Reorder the terms: -9 + -21 + 15b + -14b = -5 Combine like terms: -9 + -21 = -30 -30 + 15b + -14b = -5 Combine like terms: 15b + -14b = 1b -30 + 1b = -5 Solving -30 + 1b = -5 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 1b = -5 + 30 Combine like terms: -30 + 30 = 0 0 + 1b = -5 + 30 1b = -5 + 30 Combine like terms: -5 + 30 = 25 1b = 25 Divide each side by '1'. b = 25 Simplifying b = 25
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