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Simplifying 12.6b + -2.34 = -0.4b + 8.71 + 14.7b Reorder the terms: -2.34 + 12.6b = -0.4b + 8.71 + 14.7b Reorder the terms: -2.34 + 12.6b = 8.71 + -0.4b + 14.7b Combine like terms: -0.4b + 14.7b = 14.3b -2.34 + 12.6b = 8.71 + 14.3b Solving -2.34 + 12.6b = 8.71 + 14.3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-14.3b' to each side of the equation. -2.34 + 12.6b + -14.3b = 8.71 + 14.3b + -14.3b Combine like terms: 12.6b + -14.3b = -1.7b -2.34 + -1.7b = 8.71 + 14.3b + -14.3b Combine like terms: 14.3b + -14.3b = 0.0 -2.34 + -1.7b = 8.71 + 0.0 -2.34 + -1.7b = 8.71 Add '2.34' to each side of the equation. -2.34 + 2.34 + -1.7b = 8.71 + 2.34 Combine like terms: -2.34 + 2.34 = 0.00 0.00 + -1.7b = 8.71 + 2.34 -1.7b = 8.71 + 2.34 Combine like terms: 8.71 + 2.34 = 11.05 -1.7b = 11.05 Divide each side by '-1.7'. b = -6.5 Simplifying b = -6.5
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