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Simplifying (33b + -8) + -8(4b + 3) = 5 Reorder the terms: (-8 + 33b) + -8(4b + 3) = 5 Remove parenthesis around (-8 + 33b) -8 + 33b + -8(4b + 3) = 5 Reorder the terms: -8 + 33b + -8(3 + 4b) = 5 -8 + 33b + (3 * -8 + 4b * -8) = 5 -8 + 33b + (-24 + -32b) = 5 Reorder the terms: -8 + -24 + 33b + -32b = 5 Combine like terms: -8 + -24 = -32 -32 + 33b + -32b = 5 Combine like terms: 33b + -32b = 1b -32 + 1b = 5 Solving -32 + 1b = 5 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 1b = 5 + 32 Combine like terms: -32 + 32 = 0 0 + 1b = 5 + 32 1b = 5 + 32 Combine like terms: 5 + 32 = 37 1b = 37 Divide each side by '1'. b = 37 Simplifying b = 37
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