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Simplifying (15b + -3) + -7(2b + 2) = -6 Reorder the terms: (-3 + 15b) + -7(2b + 2) = -6 Remove parenthesis around (-3 + 15b) -3 + 15b + -7(2b + 2) = -6 Reorder the terms: -3 + 15b + -7(2 + 2b) = -6 -3 + 15b + (2 * -7 + 2b * -7) = -6 -3 + 15b + (-14 + -14b) = -6 Reorder the terms: -3 + -14 + 15b + -14b = -6 Combine like terms: -3 + -14 = -17 -17 + 15b + -14b = -6 Combine like terms: 15b + -14b = 1b -17 + 1b = -6 Solving -17 + 1b = -6 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 1b = -6 + 17 Combine like terms: -17 + 17 = 0 0 + 1b = -6 + 17 1b = -6 + 17 Combine like terms: -6 + 17 = 11 1b = 11 Divide each side by '1'. b = 11 Simplifying b = 11
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