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Simplifying 7(7b + -3) + -1b + 24 = 0 Reorder the terms: 7(-3 + 7b) + -1b + 24 = 0 (-3 * 7 + 7b * 7) + -1b + 24 = 0 (-21 + 49b) + -1b + 24 = 0 Reorder the terms: -21 + 24 + 49b + -1b = 0 Combine like terms: -21 + 24 = 3 3 + 49b + -1b = 0 Combine like terms: 49b + -1b = 48b 3 + 48b = 0 Solving 3 + 48b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 48b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 48b = 0 + -3 48b = 0 + -3 Combine like terms: 0 + -3 = -3 48b = -3 Divide each side by '48'. b = -0.0625 Simplifying b = -0.0625
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