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Simplifying 5.5 + -3b = 2b + -6.2(2.5x + 1.9) Reorder the terms: 5.5 + -3b = 2b + -6.2(1.9 + 2.5x) 5.5 + -3b = 2b + (1.9 * -6.2 + 2.5x * -6.2) 5.5 + -3b = 2b + (-11.78 + -15.5x) Reorder the terms: 5.5 + -3b = -11.78 + 2b + -15.5x Solving 5.5 + -3b = -11.78 + 2b + -15.5x Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 5.5 + -3b + -2b = -11.78 + 2b + -2b + -15.5x Combine like terms: -3b + -2b = -5b 5.5 + -5b = -11.78 + 2b + -2b + -15.5x Combine like terms: 2b + -2b = 0 5.5 + -5b = -11.78 + 0 + -15.5x 5.5 + -5b = -11.78 + -15.5x Add '-5.5' to each side of the equation. 5.5 + -5.5 + -5b = -11.78 + -5.5 + -15.5x Combine like terms: 5.5 + -5.5 = 0.0 0.0 + -5b = -11.78 + -5.5 + -15.5x -5b = -11.78 + -5.5 + -15.5x Combine like terms: -11.78 + -5.5 = -17.28 -5b = -17.28 + -15.5x Divide each side by '-5'. b = 3.456 + 3.1x Simplifying b = 3.456 + 3.1x
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