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Simplifying -8(6b + 1) = 33 + -7b Reorder the terms: -8(1 + 6b) = 33 + -7b (1 * -8 + 6b * -8) = 33 + -7b (-8 + -48b) = 33 + -7b Solving -8 + -48b = 33 + -7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '7b' to each side of the equation. -8 + -48b + 7b = 33 + -7b + 7b Combine like terms: -48b + 7b = -41b -8 + -41b = 33 + -7b + 7b Combine like terms: -7b + 7b = 0 -8 + -41b = 33 + 0 -8 + -41b = 33 Add '8' to each side of the equation. -8 + 8 + -41b = 33 + 8 Combine like terms: -8 + 8 = 0 0 + -41b = 33 + 8 -41b = 33 + 8 Combine like terms: 33 + 8 = 41 -41b = 41 Divide each side by '-41'. b = -1 Simplifying b = -1
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