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Simplifying -4(b + 3) = 33 + 5b Reorder the terms: -4(3 + b) = 33 + 5b (3 * -4 + b * -4) = 33 + 5b (-12 + -4b) = 33 + 5b Solving -12 + -4b = 33 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. -12 + -4b + -5b = 33 + 5b + -5b Combine like terms: -4b + -5b = -9b -12 + -9b = 33 + 5b + -5b Combine like terms: 5b + -5b = 0 -12 + -9b = 33 + 0 -12 + -9b = 33 Add '12' to each side of the equation. -12 + 12 + -9b = 33 + 12 Combine like terms: -12 + 12 = 0 0 + -9b = 33 + 12 -9b = 33 + 12 Combine like terms: 33 + 12 = 45 -9b = 45 Divide each side by '-9'. b = -5 Simplifying b = -5
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