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Simplifying 2(b + 2) + -1(8 + b) = -6 Reorder the terms: 2(2 + b) + -1(8 + b) = -6 (2 * 2 + b * 2) + -1(8 + b) = -6 (4 + 2b) + -1(8 + b) = -6 4 + 2b + (8 * -1 + b * -1) = -6 4 + 2b + (-8 + -1b) = -6 Reorder the terms: 4 + -8 + 2b + -1b = -6 Combine like terms: 4 + -8 = -4 -4 + 2b + -1b = -6 Combine like terms: 2b + -1b = 1b -4 + 1b = -6 Solving -4 + 1b = -6 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 1b = -6 + 4 Combine like terms: -4 + 4 = 0 0 + 1b = -6 + 4 1b = -6 + 4 Combine like terms: -6 + 4 = -2 1b = -2 Divide each side by '1'. b = -2 Simplifying b = -2
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