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Simplifying -7(8 + -2b) = -14 + -7b (8 * -7 + -2b * -7) = -14 + -7b (-56 + 14b) = -14 + -7b Solving -56 + 14b = -14 + -7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '7b' to each side of the equation. -56 + 14b + 7b = -14 + -7b + 7b Combine like terms: 14b + 7b = 21b -56 + 21b = -14 + -7b + 7b Combine like terms: -7b + 7b = 0 -56 + 21b = -14 + 0 -56 + 21b = -14 Add '56' to each side of the equation. -56 + 56 + 21b = -14 + 56 Combine like terms: -56 + 56 = 0 0 + 21b = -14 + 56 21b = -14 + 56 Combine like terms: -14 + 56 = 42 21b = 42 Divide each side by '21'. b = 2 Simplifying b = 2
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