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Simplifying -8(4b + 2) + (33b + -2) = 0 Reorder the terms: -8(2 + 4b) + (33b + -2) = 0 (2 * -8 + 4b * -8) + (33b + -2) = 0 (-16 + -32b) + (33b + -2) = 0 Reorder the terms: -16 + -32b + (-2 + 33b) = 0 Remove parenthesis around (-2 + 33b) -16 + -32b + -2 + 33b = 0 Reorder the terms: -16 + -2 + -32b + 33b = 0 Combine like terms: -16 + -2 = -18 -18 + -32b + 33b = 0 Combine like terms: -32b + 33b = 1b -18 + 1b = 0 Solving -18 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 1b = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 1b = 0 + 18 1b = 0 + 18 Combine like terms: 0 + 18 = 18 1b = 18 Divide each side by '1'. b = 18 Simplifying b = 18
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