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Simplifying -8(4b + 2) + (33b + -4) = 0 Reorder the terms: -8(2 + 4b) + (33b + -4) = 0 (2 * -8 + 4b * -8) + (33b + -4) = 0 (-16 + -32b) + (33b + -4) = 0 Reorder the terms: -16 + -32b + (-4 + 33b) = 0 Remove parenthesis around (-4 + 33b) -16 + -32b + -4 + 33b = 0 Reorder the terms: -16 + -4 + -32b + 33b = 0 Combine like terms: -16 + -4 = -20 -20 + -32b + 33b = 0 Combine like terms: -32b + 33b = 1b -20 + 1b = 0 Solving -20 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 1b = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 1b = 0 + 20 1b = 0 + 20 Combine like terms: 0 + 20 = 20 1b = 20 Divide each side by '1'. b = 20 Simplifying b = 20
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