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Simplifying (10b + -2) + -3(3b + 2) = -5 Reorder the terms: (-2 + 10b) + -3(3b + 2) = -5 Remove parenthesis around (-2 + 10b) -2 + 10b + -3(3b + 2) = -5 Reorder the terms: -2 + 10b + -3(2 + 3b) = -5 -2 + 10b + (2 * -3 + 3b * -3) = -5 -2 + 10b + (-6 + -9b) = -5 Reorder the terms: -2 + -6 + 10b + -9b = -5 Combine like terms: -2 + -6 = -8 -8 + 10b + -9b = -5 Combine like terms: 10b + -9b = 1b -8 + 1b = -5 Solving -8 + 1b = -5 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 = -5 + 8 Combine like terms: -8 + 8 = 0 0 + 1b = -5 + 8 1b = -5 + 8 Combine like terms: -5 + 8 = 3 1b = 3 Divide each side by '1'. b = 3 Simplifying b = 3
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