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Simplifying 18.5 + -81(51 + -2.5b) = 5 + 55(44 + 99b) 18.5 + (51 * -81 + -2.5b * -81) = 5 + 55(44 + 99b) 18.5 + (-4131 + 202.5b) = 5 + 55(44 + 99b) Combine like terms: 18.5 + -4131 = -4112.5 -4112.5 + 202.5b = 5 + 55(44 + 99b) -4112.5 + 202.5b = 5 + (44 * 55 + 99b * 55) -4112.5 + 202.5b = 5 + (2420 + 5445b) Combine like terms: 5 + 2420 = 2425 -4112.5 + 202.5b = 2425 + 5445b Solving -4112.5 + 202.5b = 2425 + 5445b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5445b' to each side of the equation. -4112.5 + 202.5b + -5445b = 2425 + 5445b + -5445b Combine like terms: 202.5b + -5445b = -5242.5b -4112.5 + -5242.5b = 2425 + 5445b + -5445b Combine like terms: 5445b + -5445b = 0 -4112.5 + -5242.5b = 2425 + 0 -4112.5 + -5242.5b = 2425 Add '4112.5' to each side of the equation. -4112.5 + 4112.5 + -5242.5b = 2425 + 4112.5 Combine like terms: -4112.5 + 4112.5 = 0.0 0.0 + -5242.5b = 2425 + 4112.5 -5242.5b = 2425 + 4112.5 Combine like terms: 2425 + 4112.5 = 6537.5 -5242.5b = 6537.5 Divide each side by '-5242.5'. b = -1.247019552 Simplifying b = -1.247019552
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