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Simplifying (33b + -3) + -8(4b + 1) = -6 Reorder the terms: (-3 + 33b) + -8(4b + 1) = -6 Remove parenthesis around (-3 + 33b) -3 + 33b + -8(4b + 1) = -6 Reorder the terms: -3 + 33b + -8(1 + 4b) = -6 -3 + 33b + (1 * -8 + 4b * -8) = -6 -3 + 33b + (-8 + -32b) = -6 Reorder the terms: -3 + -8 + 33b + -32b = -6 Combine like terms: -3 + -8 = -11 -11 + 33b + -32b = -6 Combine like terms: 33b + -32b = 1b -11 + 1b = -6 Solving -11 + 1b = -6 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 1b = -6 + 11 Combine like terms: -11 + 11 = 0 0 + 1b = -6 + 11 1b = -6 + 11 Combine like terms: -6 + 11 = 5 1b = 5 Divide each side by '1'. b = 5 Simplifying b = 5
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