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Simplifying 1.9x + -2.4b + -3.8x + -8.2b = 0 Reorder the terms: -2.4b + -8.2b + 1.9x + -3.8x = 0 Combine like terms: -2.4b + -8.2b = -10.6b -10.6b + 1.9x + -3.8x = 0 Combine like terms: 1.9x + -3.8x = -1.9x -10.6b + -1.9x = 0 Solving -10.6b + -1.9x = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '1.9x' to each side of the equation. -10.6b + -1.9x + 1.9x = 0 + 1.9x Combine like terms: -1.9x + 1.9x = 0.0 -10.6b + 0.0 = 0 + 1.9x -10.6b = 0 + 1.9x Remove the zero: -10.6b = 1.9x Divide each side by '-10.6'. b = -0.179245283x Simplifying b = -0.179245283x
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