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Simplifying 2b + 3 + -1(10 + b) + 5(7b + -3) = -1 2b + 3 + (10 * -1 + b * -1) + 5(7b + -3) = -1 2b + 3 + (-10 + -1b) + 5(7b + -3) = -1 Reorder the terms: 2b + 3 + -10 + -1b + 5(-3 + 7b) = -1 2b + 3 + -10 + -1b + (-3 * 5 + 7b * 5) = -1 2b + 3 + -10 + -1b + (-15 + 35b) = -1 Reorder the terms: 3 + -10 + -15 + 2b + -1b + 35b = -1 Combine like terms: 3 + -10 = -7 -7 + -15 + 2b + -1b + 35b = -1 Combine like terms: -7 + -15 = -22 -22 + 2b + -1b + 35b = -1 Combine like terms: 2b + -1b = 1b -22 + 1b + 35b = -1 Combine like terms: 1b + 35b = 36b -22 + 36b = -1 Solving -22 + 36b = -1 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 36b = -1 + 22 Combine like terms: -22 + 22 = 0 0 + 36b = -1 + 22 36b = -1 + 22 Combine like terms: -1 + 22 = 21 36b = 21 Divide each side by '36'. b = 0.5833333333 Simplifying b = 0.5833333333
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