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Simplifying -8(4b + 1) + (33b + -6) = 0 Reorder the terms: -8(1 + 4b) + (33b + -6) = 0 (1 * -8 + 4b * -8) + (33b + -6) = 0 (-8 + -32b) + (33b + -6) = 0 Reorder the terms: -8 + -32b + (-6 + 33b) = 0 Remove parenthesis around (-6 + 33b) -8 + -32b + -6 + 33b = 0 Reorder the terms: -8 + -6 + -32b + 33b = 0 Combine like terms: -8 + -6 = -14 -14 + -32b + 33b = 0 Combine like terms: -32b + 33b = 1b -14 + 1b = 0 Solving -14 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 1b = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 1b = 0 + 14 1b = 0 + 14 Combine like terms: 0 + 14 = 14 1b = 14 Divide each side by '1'. b = 14 Simplifying b = 14
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