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Simplifying -2(-4b + -2) + -7(b + -3) = 20 Reorder the terms: -2(-2 + -4b) + -7(b + -3) = 20 (-2 * -2 + -4b * -2) + -7(b + -3) = 20 (4 + 8b) + -7(b + -3) = 20 Reorder the terms: 4 + 8b + -7(-3 + b) = 20 4 + 8b + (-3 * -7 + b * -7) = 20 4 + 8b + (21 + -7b) = 20 Reorder the terms: 4 + 21 + 8b + -7b = 20 Combine like terms: 4 + 21 = 25 25 + 8b + -7b = 20 Combine like terms: 8b + -7b = 1b 25 + 1b = 20 Solving 25 + 1b = 20 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 1b = 20 + -25 Combine like terms: 25 + -25 = 0 0 + 1b = 20 + -25 1b = 20 + -25 Combine like terms: 20 + -25 = -5 1b = -5 Divide each side by '1'. b = -5 Simplifying b = -5
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