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Simplifying 2(b + 1) + -1(7 + b) = 2 Reorder the terms: 2(1 + b) + -1(7 + b) = 2 (1 * 2 + b * 2) + -1(7 + b) = 2 (2 + 2b) + -1(7 + b) = 2 2 + 2b + (7 * -1 + b * -1) = 2 2 + 2b + (-7 + -1b) = 2 Reorder the terms: 2 + -7 + 2b + -1b = 2 Combine like terms: 2 + -7 = -5 -5 + 2b + -1b = 2 Combine like terms: 2b + -1b = 1b -5 + 1b = 2 Solving -5 + 1b = 2 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 = 2 + 5 Combine like terms: -5 + 5 = 0 0 + 1b = 2 + 5 1b = 2 + 5 Combine like terms: 2 + 5 = 7 1b = 7 Divide each side by '1'. b = 7 Simplifying b = 7
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