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Simplifying -20b + 20b = 4(35 + 27b) + -19(1 + -1b) Combine like terms: -20b + 20b = 0 0 = 4(35 + 27b) + -19(1 + -1b) 0 = (35 * 4 + 27b * 4) + -19(1 + -1b) 0 = (140 + 108b) + -19(1 + -1b) 0 = 140 + 108b + (1 * -19 + -1b * -19) 0 = 140 + 108b + (-19 + 19b) Reorder the terms: 0 = 140 + -19 + 108b + 19b Combine like terms: 140 + -19 = 121 0 = 121 + 108b + 19b Combine like terms: 108b + 19b = 127b 0 = 121 + 127b Solving 0 = 121 + 127b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-127b' to each side of the equation. 0 + -127b = 121 + 127b + -127b Remove the zero: -127b = 121 + 127b + -127b Combine like terms: 127b + -127b = 0 -127b = 121 + 0 -127b = 121 Divide each side by '-127'. b = -0.9527559055 Simplifying b = -0.9527559055
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