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Simplifying (33b + -9) + -8(4b + 4) = -3 Reorder the terms: (-9 + 33b) + -8(4b + 4) = -3 Remove parenthesis around (-9 + 33b) -9 + 33b + -8(4b + 4) = -3 Reorder the terms: -9 + 33b + -8(4 + 4b) = -3 -9 + 33b + (4 * -8 + 4b * -8) = -3 -9 + 33b + (-32 + -32b) = -3 Reorder the terms: -9 + -32 + 33b + -32b = -3 Combine like terms: -9 + -32 = -41 -41 + 33b + -32b = -3 Combine like terms: 33b + -32b = 1b -41 + 1b = -3 Solving -41 + 1b = -3 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + 1b = -3 + 41 Combine like terms: -41 + 41 = 0 0 + 1b = -3 + 41 1b = -3 + 41 Combine like terms: -3 + 41 = 38 1b = 38 Divide each side by '1'. b = 38 Simplifying b = 38
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