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Simplifying 2(b + 1) + -1(7 + b) = -7 Reorder the terms: 2(1 + b) + -1(7 + b) = -7 (1 * 2 + b * 2) + -1(7 + b) = -7 (2 + 2b) + -1(7 + b) = -7 2 + 2b + (7 * -1 + b * -1) = -7 2 + 2b + (-7 + -1b) = -7 Reorder the terms: 2 + -7 + 2b + -1b = -7 Combine like terms: 2 + -7 = -5 -5 + 2b + -1b = -7 Combine like terms: 2b + -1b = 1b -5 + 1b = -7 Solving -5 + 1b = -7 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 1b = -7 + 5 Combine like terms: -5 + 5 = 0 0 + 1b = -7 + 5 1b = -7 + 5 Combine like terms: -7 + 5 = -2 1b = -2 Divide each side by '1'. b = -2 Simplifying b = -2
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