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Simplifying 3b + -1(5b + -7) = 12 Reorder the terms: 3b + -1(-7 + 5b) = 12 3b + (-7 * -1 + 5b * -1) = 12 3b + (7 + -5b) = 12 Reorder the terms: 7 + 3b + -5b = 12 Combine like terms: 3b + -5b = -2b 7 + -2b = 12 Solving 7 + -2b = 12 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2b = 12 + -7 Combine like terms: 7 + -7 = 0 0 + -2b = 12 + -7 -2b = 12 + -7 Combine like terms: 12 + -7 = 5 -2b = 5 Divide each side by '-2'. b = -2.5 Simplifying b = -2.5
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