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Simplifying 7(5b + -11) + -4(-1b + 9) = 0 Reorder the terms: 7(-11 + 5b) + -4(-1b + 9) = 0 (-11 * 7 + 5b * 7) + -4(-1b + 9) = 0 (-77 + 35b) + -4(-1b + 9) = 0 Reorder the terms: -77 + 35b + -4(9 + -1b) = 0 -77 + 35b + (9 * -4 + -1b * -4) = 0 -77 + 35b + (-36 + 4b) = 0 Reorder the terms: -77 + -36 + 35b + 4b = 0 Combine like terms: -77 + -36 = -113 -113 + 35b + 4b = 0 Combine like terms: 35b + 4b = 39b -113 + 39b = 0 Solving -113 + 39b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '113' to each side of the equation. -113 + 113 + 39b = 0 + 113 Combine like terms: -113 + 113 = 0 0 + 39b = 0 + 113 39b = 0 + 113 Combine like terms: 0 + 113 = 113 39b = 113 Divide each side by '39'. b = 2.897435897 Simplifying b = 2.897435897
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