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Simplifying (15b + -6) + -7(2b + 2) = -2 Reorder the terms: (-6 + 15b) + -7(2b + 2) = -2 Remove parenthesis around (-6 + 15b) -6 + 15b + -7(2b + 2) = -2 Reorder the terms: -6 + 15b + -7(2 + 2b) = -2 -6 + 15b + (2 * -7 + 2b * -7) = -2 -6 + 15b + (-14 + -14b) = -2 Reorder the terms: -6 + -14 + 15b + -14b = -2 Combine like terms: -6 + -14 = -20 -20 + 15b + -14b = -2 Combine like terms: 15b + -14b = 1b -20 + 1b = -2 Solving -20 + 1b = -2 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 1b = -2 + 20 Combine like terms: -20 + 20 = 0 0 + 1b = -2 + 20 1b = -2 + 20 Combine like terms: -2 + 20 = 18 1b = 18 Divide each side by '1'. b = 18 Simplifying b = 18
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