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Simplifying (33b + -8) + -8(4b + 4) = -2 Reorder the terms: (-8 + 33b) + -8(4b + 4) = -2 Remove parenthesis around (-8 + 33b) -8 + 33b + -8(4b + 4) = -2 Reorder the terms: -8 + 33b + -8(4 + 4b) = -2 -8 + 33b + (4 * -8 + 4b * -8) = -2 -8 + 33b + (-32 + -32b) = -2 Reorder the terms: -8 + -32 + 33b + -32b = -2 Combine like terms: -8 + -32 = -40 -40 + 33b + -32b = -2 Combine like terms: 33b + -32b = 1b -40 + 1b = -2 Solving -40 + 1b = -2 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 1b = -2 + 40 Combine like terms: -40 + 40 = 0 0 + 1b = -2 + 40 1b = -2 + 40 Combine like terms: -2 + 40 = 38 1b = 38 Divide each side by '1'. b = 38 Simplifying b = 38
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