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Simplifying 8b + 12 + -1b = 8b + 7b + 4 Reorder the terms: 12 + 8b + -1b = 8b + 7b + 4 Combine like terms: 8b + -1b = 7b 12 + 7b = 8b + 7b + 4 Reorder the terms: 12 + 7b = 4 + 8b + 7b Combine like terms: 8b + 7b = 15b 12 + 7b = 4 + 15b Solving 12 + 7b = 4 + 15b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-15b' to each side of the equation. 12 + 7b + -15b = 4 + 15b + -15b Combine like terms: 7b + -15b = -8b 12 + -8b = 4 + 15b + -15b Combine like terms: 15b + -15b = 0 12 + -8b = 4 + 0 12 + -8b = 4 Add '-12' to each side of the equation. 12 + -12 + -8b = 4 + -12 Combine like terms: 12 + -12 = 0 0 + -8b = 4 + -12 -8b = 4 + -12 Combine like terms: 4 + -12 = -8 -8b = -8 Divide each side by '-8'. b = 1 Simplifying b = 1
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