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Simplifying -8(4b + 1) + (33b + -2) = 0 Reorder the terms: -8(1 + 4b) + (33b + -2) = 0 (1 * -8 + 4b * -8) + (33b + -2) = 0 (-8 + -32b) + (33b + -2) = 0 Reorder the terms: -8 + -32b + (-2 + 33b) = 0 Remove parenthesis around (-2 + 33b) -8 + -32b + -2 + 33b = 0 Reorder the terms: -8 + -2 + -32b + 33b = 0 Combine like terms: -8 + -2 = -10 -10 + -32b + 33b = 0 Combine like terms: -32b + 33b = 1b -10 + 1b = 0 Solving -10 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 1b = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 1b = 0 + 10 1b = 0 + 10 Combine like terms: 0 + 10 = 10 1b = 10 Divide each side by '1'. b = 10 Simplifying b = 10
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