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Simplifying -8b + 7 + 6b = 3b + 12 Reorder the terms: 7 + -8b + 6b = 3b + 12 Combine like terms: -8b + 6b = -2b 7 + -2b = 3b + 12 Reorder the terms: 7 + -2b = 12 + 3b Solving 7 + -2b = 12 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 7 + -2b + -3b = 12 + 3b + -3b Combine like terms: -2b + -3b = -5b 7 + -5b = 12 + 3b + -3b Combine like terms: 3b + -3b = 0 7 + -5b = 12 + 0 7 + -5b = 12 Add '-7' to each side of the equation. 7 + -7 + -5b = 12 + -7 Combine like terms: 7 + -7 = 0 0 + -5b = 12 + -7 -5b = 12 + -7 Combine like terms: 12 + -7 = 5 -5b = 5 Divide each side by '-5'. b = -1 Simplifying b = -1
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