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Simplifying -8(4b + 4) + (33b + -6) = 0 Reorder the terms: -8(4 + 4b) + (33b + -6) = 0 (4 * -8 + 4b * -8) + (33b + -6) = 0 (-32 + -32b) + (33b + -6) = 0 Reorder the terms: -32 + -32b + (-6 + 33b) = 0 Remove parenthesis around (-6 + 33b) -32 + -32b + -6 + 33b = 0 Reorder the terms: -32 + -6 + -32b + 33b = 0 Combine like terms: -32 + -6 = -38 -38 + -32b + 33b = 0 Combine like terms: -32b + 33b = 1b -38 + 1b = 0 Solving -38 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 1b = 0 + 38 Combine like terms: -38 + 38 = 0 0 + 1b = 0 + 38 1b = 0 + 38 Combine like terms: 0 + 38 = 38 1b = 38 Divide each side by '1'. b = 38 Simplifying b = 38
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