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Simplifying 5(9b + -2b) + 100b + -1 = 0 Combine like terms: 9b + -2b = 7b 5(7b) + 100b + -1 = 0 Remove parenthesis around (7b) 5 * 7b + 100b + -1 = 0 Multiply 5 * 7 35b + 100b + -1 = 0 Reorder the terms: -1 + 35b + 100b = 0 Combine like terms: 35b + 100b = 135b -1 + 135b = 0 Solving -1 + 135b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 135b = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 135b = 0 + 1 135b = 0 + 1 Combine like terms: 0 + 1 = 1 135b = 1 Divide each side by '135'. b = 0.007407407407 Simplifying b = 0.007407407407
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