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Simplifying 12 + -1b + 7b = 7b + 15 Combine like terms: -1b + 7b = 6b 12 + 6b = 7b + 15 Reorder the terms: 12 + 6b = 15 + 7b Solving 12 + 6b = 15 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. 12 + 6b + -7b = 15 + 7b + -7b Combine like terms: 6b + -7b = -1b 12 + -1b = 15 + 7b + -7b Combine like terms: 7b + -7b = 0 12 + -1b = 15 + 0 12 + -1b = 15 Add '-12' to each side of the equation. 12 + -12 + -1b = 15 + -12 Combine like terms: 12 + -12 = 0 0 + -1b = 15 + -12 -1b = 15 + -12 Combine like terms: 15 + -12 = 3 -1b = 3 Divide each side by '-1'. b = -3 Simplifying b = -3
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