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Simplifying (10b + -2) + -3(3b + 3) = -5 Reorder the terms: (-2 + 10b) + -3(3b + 3) = -5 Remove parenthesis around (-2 + 10b) -2 + 10b + -3(3b + 3) = -5 Reorder the terms: -2 + 10b + -3(3 + 3b) = -5 -2 + 10b + (3 * -3 + 3b * -3) = -5 -2 + 10b + (-9 + -9b) = -5 Reorder the terms: -2 + -9 + 10b + -9b = -5 Combine like terms: -2 + -9 = -11 -11 + 10b + -9b = -5 Combine like terms: 10b + -9b = 1b -11 + 1b = -5 Solving -11 + 1b = -5 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 1b = -5 + 11 Combine like terms: -11 + 11 = 0 0 + 1b = -5 + 11 1b = -5 + 11 Combine like terms: -5 + 11 = 6 1b = 6 Divide each side by '1'. b = 6 Simplifying b = 6
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