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Simplifying -6(b + -4) = 33 + -3b Reorder the terms: -6(-4 + b) = 33 + -3b (-4 * -6 + b * -6) = 33 + -3b (24 + -6b) = 33 + -3b Solving 24 + -6b = 33 + -3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3b' to each side of the equation. 24 + -6b + 3b = 33 + -3b + 3b Combine like terms: -6b + 3b = -3b 24 + -3b = 33 + -3b + 3b Combine like terms: -3b + 3b = 0 24 + -3b = 33 + 0 24 + -3b = 33 Add '-24' to each side of the equation. 24 + -24 + -3b = 33 + -24 Combine like terms: 24 + -24 = 0 0 + -3b = 33 + -24 -3b = 33 + -24 Combine like terms: 33 + -24 = 9 -3b = 9 Divide each side by '-3'. b = -3 Simplifying b = -3
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