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Simplifying -7(8 + 3b) = 20 + -2b (8 * -7 + 3b * -7) = 20 + -2b (-56 + -21b) = 20 + -2b Solving -56 + -21b = 20 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. -56 + -21b + 2b = 20 + -2b + 2b Combine like terms: -21b + 2b = -19b -56 + -19b = 20 + -2b + 2b Combine like terms: -2b + 2b = 0 -56 + -19b = 20 + 0 -56 + -19b = 20 Add '56' to each side of the equation. -56 + 56 + -19b = 20 + 56 Combine like terms: -56 + 56 = 0 0 + -19b = 20 + 56 -19b = 20 + 56 Combine like terms: 20 + 56 = 76 -19b = 76 Divide each side by '-19'. b = -4 Simplifying b = -4
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