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Simplifying 7b + 7(6 + 8b) = -462 7b + (6 * 7 + 8b * 7) = -462 7b + (42 + 56b) = -462 Reorder the terms: 42 + 7b + 56b = -462 Combine like terms: 7b + 56b = 63b 42 + 63b = -462 Solving 42 + 63b = -462 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 63b = -462 + -42 Combine like terms: 42 + -42 = 0 0 + 63b = -462 + -42 63b = -462 + -42 Combine like terms: -462 + -42 = -504 63b = -504 Divide each side by '63'. b = -8 Simplifying b = -8
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