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Simplifying (15b + -1) + -7(2b + 1) = -7 Reorder the terms: (-1 + 15b) + -7(2b + 1) = -7 Remove parenthesis around (-1 + 15b) -1 + 15b + -7(2b + 1) = -7 Reorder the terms: -1 + 15b + -7(1 + 2b) = -7 -1 + 15b + (1 * -7 + 2b * -7) = -7 -1 + 15b + (-7 + -14b) = -7 Reorder the terms: -1 + -7 + 15b + -14b = -7 Combine like terms: -1 + -7 = -8 -8 + 15b + -14b = -7 Combine like terms: 15b + -14b = 1b -8 + 1b = -7 Solving -8 + 1b = -7 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 1b = -7 + 8 Combine like terms: -8 + 8 = 0 0 + 1b = -7 + 8 1b = -7 + 8 Combine like terms: -7 + 8 = 1 1b = 1 Divide each side by '1'. b = 1 Simplifying b = 1
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