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Simplifying 2(b + 2) + -1(7 + -1b) = -6 Reorder the terms: 2(2 + b) + -1(7 + -1b) = -6 (2 * 2 + b * 2) + -1(7 + -1b) = -6 (4 + 2b) + -1(7 + -1b) = -6 4 + 2b + (7 * -1 + -1b * -1) = -6 4 + 2b + (-7 + 1b) = -6 Reorder the terms: 4 + -7 + 2b + 1b = -6 Combine like terms: 4 + -7 = -3 -3 + 2b + 1b = -6 Combine like terms: 2b + 1b = 3b -3 + 3b = -6 Solving -3 + 3b = -6 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 + 3b = -6 + 3 Combine like terms: -3 + 3 = 0 0 + 3b = -6 + 3 3b = -6 + 3 Combine like terms: -6 + 3 = -3 3b = -3 Divide each side by '3'. b = -1 Simplifying b = -1
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