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Simplifying 7(1 + -7b) + 7 = -280 (1 * 7 + -7b * 7) + 7 = -280 (7 + -49b) + 7 = -280 Reorder the terms: 7 + 7 + -49b = -280 Combine like terms: 7 + 7 = 14 14 + -49b = -280 Solving 14 + -49b = -280 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -49b = -280 + -14 Combine like terms: 14 + -14 = 0 0 + -49b = -280 + -14 -49b = -280 + -14 Combine like terms: -280 + -14 = -294 -49b = -294 Divide each side by '-49'. b = 6 Simplifying b = 6
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