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Simplifying (33b + -5) + -8(4b + 1) = -1 Reorder the terms: (-5 + 33b) + -8(4b + 1) = -1 Remove parenthesis around (-5 + 33b) -5 + 33b + -8(4b + 1) = -1 Reorder the terms: -5 + 33b + -8(1 + 4b) = -1 -5 + 33b + (1 * -8 + 4b * -8) = -1 -5 + 33b + (-8 + -32b) = -1 Reorder the terms: -5 + -8 + 33b + -32b = -1 Combine like terms: -5 + -8 = -13 -13 + 33b + -32b = -1 Combine like terms: 33b + -32b = 1b -13 + 1b = -1 Solving -13 + 1b = -1 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 1b = -1 + 13 Combine like terms: -13 + 13 = 0 0 + 1b = -1 + 13 1b = -1 + 13 Combine like terms: -1 + 13 = 12 1b = 12 Divide each side by '1'. b = 12 Simplifying b = 12
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