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Simplifying 12 + -7b + 10b = 18 + -3b Combine like terms: -7b + 10b = 3b 12 + 3b = 18 + -3b Solving 12 + 3b = 18 + -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. 12 + 3b + 3b = 18 + -3b + 3b Combine like terms: 3b + 3b = 6b 12 + 6b = 18 + -3b + 3b Combine like terms: -3b + 3b = 0 12 + 6b = 18 + 0 12 + 6b = 18 Add '-12' to each side of the equation. 12 + -12 + 6b = 18 + -12 Combine like terms: 12 + -12 = 0 0 + 6b = 18 + -12 6b = 18 + -12 Combine like terms: 18 + -12 = 6 6b = 6 Divide each side by '6'. b = 1 Simplifying b = 1
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