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Simplifying -0.8b + 4.1c + -1(-3.2b) + -0.1c = 0 Remove parenthesis around (-3.2b) -0.8b + 4.1c + -1 * -3.2b + -0.1c = 0 Multiply -1 * -3.2 -0.8b + 4.1c + 3.2b + -0.1c = 0 Reorder the terms: -0.8b + 3.2b + 4.1c + -0.1c = 0 Combine like terms: -0.8b + 3.2b = 2.4b 2.4b + 4.1c + -0.1c = 0 Combine like terms: 4.1c + -0.1c = 4c 2.4b + 4c = 0 Solving 2.4b + 4c = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4c' to each side of the equation. 2.4b + 4c + -4c = 0 + -4c Combine like terms: 4c + -4c = 0 2.4b + 0 = 0 + -4c 2.4b = 0 + -4c Remove the zero: 2.4b = -4c Divide each side by '2.4'. b = -1.666666667c Simplifying b = -1.666666667c
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