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Simplifying -2(b + -2) + -5(2b + 3) = 12 Reorder the terms: -2(-2 + b) + -5(2b + 3) = 12 (-2 * -2 + b * -2) + -5(2b + 3) = 12 (4 + -2b) + -5(2b + 3) = 12 Reorder the terms: 4 + -2b + -5(3 + 2b) = 12 4 + -2b + (3 * -5 + 2b * -5) = 12 4 + -2b + (-15 + -10b) = 12 Reorder the terms: 4 + -15 + -2b + -10b = 12 Combine like terms: 4 + -15 = -11 -11 + -2b + -10b = 12 Combine like terms: -2b + -10b = -12b -11 + -12b = 12 Solving -11 + -12b = 12 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 = 12 + 11 Combine like terms: -11 + 11 = 0 0 + -12b = 12 + 11 -12b = 12 + 11 Combine like terms: 12 + 11 = 23 -12b = 23 Divide each side by '-12'. b = -1.916666667 Simplifying b = -1.916666667
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