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Simplifying (33b + -4) + -8(4b + 3) = -2 Reorder the terms: (-4 + 33b) + -8(4b + 3) = -2 Remove parenthesis around (-4 + 33b) -4 + 33b + -8(4b + 3) = -2 Reorder the terms: -4 + 33b + -8(3 + 4b) = -2 -4 + 33b + (3 * -8 + 4b * -8) = -2 -4 + 33b + (-24 + -32b) = -2 Reorder the terms: -4 + -24 + 33b + -32b = -2 Combine like terms: -4 + -24 = -28 -28 + 33b + -32b = -2 Combine like terms: 33b + -32b = 1b -28 + 1b = -2 Solving -28 + 1b = -2 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 1b = -2 + 28 Combine like terms: -28 + 28 = 0 0 + 1b = -2 + 28 1b = -2 + 28 Combine like terms: -2 + 28 = 26 1b = 26 Divide each side by '1'. b = 26 Simplifying b = 26
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