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Simplifying 13.7b + -65 = -2.3b + 8.3 Reorder the terms: -65 + 13.7b = -2.3b + 8.3 Reorder the terms: -65 + 13.7b = 8.3 + -2.3b Solving -65 + 13.7b = 8.3 + -2.3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2.3b' to each side of the equation. -65 + 13.7b + 2.3b = 8.3 + -2.3b + 2.3b Combine like terms: 13.7b + 2.3b = 16b -65 + 16b = 8.3 + -2.3b + 2.3b Combine like terms: -2.3b + 2.3b = 0.0 -65 + 16b = 8.3 + 0.0 -65 + 16b = 8.3 Add '65' to each side of the equation. -65 + 65 + 16b = 8.3 + 65 Combine like terms: -65 + 65 = 0 0 + 16b = 8.3 + 65 16b = 8.3 + 65 Combine like terms: 8.3 + 65 = 73.3 16b = 73.3 Divide each side by '16'. b = 4.58125 Simplifying b = 4.58125
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