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Simplifying 1 + -7(b + 4) = -83 Reorder the terms: 1 + -7(4 + b) = -83 1 + (4 * -7 + b * -7) = -83 1 + (-28 + -7b) = -83 Combine like terms: 1 + -28 = -27 -27 + -7b = -83 Solving -27 + -7b = -83 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + -7b = -83 + 27 Combine like terms: -27 + 27 = 0 0 + -7b = -83 + 27 -7b = -83 + 27 Combine like terms: -83 + 27 = -56 -7b = -56 Divide each side by '-7'. b = 8 Simplifying b = 8
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