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Simplifying -3 + 7(1 + 7b) = -45 -3 + (1 * 7 + 7b * 7) = -45 -3 + (7 + 49b) = -45 Combine like terms: -3 + 7 = 4 4 + 49b = -45 Solving 4 + 49b = -45 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 49b = -45 + -4 Combine like terms: 4 + -4 = 0 0 + 49b = -45 + -4 49b = -45 + -4 Combine like terms: -45 + -4 = -49 49b = -49 Divide each side by '49'. b = -1 Simplifying b = -1
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