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Simplifying -2(b + 2) + -5(2b + -3) = 3 Reorder the terms: -2(2 + b) + -5(2b + -3) = 3 (2 * -2 + b * -2) + -5(2b + -3) = 3 (-4 + -2b) + -5(2b + -3) = 3 Reorder the terms: -4 + -2b + -5(-3 + 2b) = 3 -4 + -2b + (-3 * -5 + 2b * -5) = 3 -4 + -2b + (15 + -10b) = 3 Reorder the terms: -4 + 15 + -2b + -10b = 3 Combine like terms: -4 + 15 = 11 11 + -2b + -10b = 3 Combine like terms: -2b + -10b = -12b 11 + -12b = 3 Solving 11 + -12b = 3 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -12b = 3 + -11 Combine like terms: 11 + -11 = 0 0 + -12b = 3 + -11 -12b = 3 + -11 Combine like terms: 3 + -11 = -8 -12b = -8 Divide each side by '-12'. b = 0.6666666667 Simplifying b = 0.6666666667
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