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Simplifying 3(5b + 7) = -32 + -2b Reorder the terms: 3(7 + 5b) = -32 + -2b (7 * 3 + 5b * 3) = -32 + -2b (21 + 15b) = -32 + -2b Solving 21 + 15b = -32 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. 21 + 15b + 2b = -32 + -2b + 2b Combine like terms: 15b + 2b = 17b 21 + 17b = -32 + -2b + 2b Combine like terms: -2b + 2b = 0 21 + 17b = -32 + 0 21 + 17b = -32 Add '-21' to each side of the equation. 21 + -21 + 17b = -32 + -21 Combine like terms: 21 + -21 = 0 0 + 17b = -32 + -21 17b = -32 + -21 Combine like terms: -32 + -21 = -53 17b = -53 Divide each side by '17'. b = -3.117647059 Simplifying b = -3.117647059
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