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Simplifying (10b + -9) + -3(3b + 3) = 3 Reorder the terms: (-9 + 10b) + -3(3b + 3) = 3 Remove parenthesis around (-9 + 10b) -9 + 10b + -3(3b + 3) = 3 Reorder the terms: -9 + 10b + -3(3 + 3b) = 3 -9 + 10b + (3 * -3 + 3b * -3) = 3 -9 + 10b + (-9 + -9b) = 3 Reorder the terms: -9 + -9 + 10b + -9b = 3 Combine like terms: -9 + -9 = -18 -18 + 10b + -9b = 3 Combine like terms: 10b + -9b = 1b -18 + 1b = 3 Solving -18 + 1b = 3 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 1b = 3 + 18 Combine like terms: -18 + 18 = 0 0 + 1b = 3 + 18 1b = 3 + 18 Combine like terms: 3 + 18 = 21 1b = 21 Divide each side by '1'. b = 21 Simplifying b = 21
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