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Simplifying 1 + 12.6b + -7 = 1.2b + 18.966 Reorder the terms: 1 + -7 + 12.6b = 1.2b + 18.966 Combine like terms: 1 + -7 = -6 -6 + 12.6b = 1.2b + 18.966 Reorder the terms: -6 + 12.6b = 18.966 + 1.2b Solving -6 + 12.6b = 18.966 + 1.2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1.2b' to each side of the equation. -6 + 12.6b + -1.2b = 18.966 + 1.2b + -1.2b Combine like terms: 12.6b + -1.2b = 11.4b -6 + 11.4b = 18.966 + 1.2b + -1.2b Combine like terms: 1.2b + -1.2b = 0.0 -6 + 11.4b = 18.966 + 0.0 -6 + 11.4b = 18.966 Add '6' to each side of the equation. -6 + 6 + 11.4b = 18.966 + 6 Combine like terms: -6 + 6 = 0 0 + 11.4b = 18.966 + 6 11.4b = 18.966 + 6 Combine like terms: 18.966 + 6 = 24.966 11.4b = 24.966 Divide each side by '11.4'. b = 2.19 Simplifying b = 2.19
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