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Simplifying (15b + -1) + -7(2b + 2) = -5 Reorder the terms: (-1 + 15b) + -7(2b + 2) = -5 Remove parenthesis around (-1 + 15b) -1 + 15b + -7(2b + 2) = -5 Reorder the terms: -1 + 15b + -7(2 + 2b) = -5 -1 + 15b + (2 * -7 + 2b * -7) = -5 -1 + 15b + (-14 + -14b) = -5 Reorder the terms: -1 + -14 + 15b + -14b = -5 Combine like terms: -1 + -14 = -15 -15 + 15b + -14b = -5 Combine like terms: 15b + -14b = 1b -15 + 1b = -5 Solving -15 + 1b = -5 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 1b = -5 + 15 Combine like terms: -15 + 15 = 0 0 + 1b = -5 + 15 1b = -5 + 15 Combine like terms: -5 + 15 = 10 1b = 10 Divide each side by '1'. b = 10 Simplifying b = 10
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