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Simplifying (-2b + 3) + -5 = -32 + -6b Reorder the terms: (3 + -2b) + -5 = -32 + -6b Remove parenthesis around (3 + -2b) 3 + -2b + -5 = -32 + -6b Reorder the terms: 3 + -5 + -2b = -32 + -6b Combine like terms: 3 + -5 = -2 -2 + -2b = -32 + -6b Solving -2 + -2b = -32 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. -2 + -2b + 6b = -32 + -6b + 6b Combine like terms: -2b + 6b = 4b -2 + 4b = -32 + -6b + 6b Combine like terms: -6b + 6b = 0 -2 + 4b = -32 + 0 -2 + 4b = -32 Add '2' to each side of the equation. -2 + 2 + 4b = -32 + 2 Combine like terms: -2 + 2 = 0 0 + 4b = -32 + 2 4b = -32 + 2 Combine like terms: -32 + 2 = -30 4b = -30 Divide each side by '4'. b = -7.5 Simplifying b = -7.5
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