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Simplifying 7b + 12 = 5b + 12 + -15 Reorder the terms: 12 + 7b = 5b + 12 + -15 Reorder the terms: 12 + 7b = 12 + -15 + 5b Combine like terms: 12 + -15 = -3 12 + 7b = -3 + 5b Solving 12 + 7b = -3 + 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 + 7b + -5b = -3 + 5b + -5b Combine like terms: 7b + -5b = 2b 12 + 2b = -3 + 5b + -5b Combine like terms: 5b + -5b = 0 12 + 2b = -3 + 0 12 + 2b = -3 Add '-12' to each side of the equation. 12 + -12 + 2b = -3 + -12 Combine like terms: 12 + -12 = 0 0 + 2b = -3 + -12 2b = -3 + -12 Combine like terms: -3 + -12 = -15 2b = -15 Divide each side by '2'. b = -7.5 Simplifying b = -7.5
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