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Simplifying (10b + -7) + -3(3b + 2) = -6 Reorder the terms: (-7 + 10b) + -3(3b + 2) = -6 Remove parenthesis around (-7 + 10b) -7 + 10b + -3(3b + 2) = -6 Reorder the terms: -7 + 10b + -3(2 + 3b) = -6 -7 + 10b + (2 * -3 + 3b * -3) = -6 -7 + 10b + (-6 + -9b) = -6 Reorder the terms: -7 + -6 + 10b + -9b = -6 Combine like terms: -7 + -6 = -13 -13 + 10b + -9b = -6 Combine like terms: 10b + -9b = 1b -13 + 1b = -6 Solving -13 + 1b = -6 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 1b = -6 + 13 Combine like terms: -13 + 13 = 0 0 + 1b = -6 + 13 1b = -6 + 13 Combine like terms: -6 + 13 = 7 1b = 7 Divide each side by '1'. b = 7 Simplifying b = 7
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