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Simplifying 2(b + 3) + -1(8 + b) = -4 Reorder the terms: 2(3 + b) + -1(8 + b) = -4 (3 * 2 + b * 2) + -1(8 + b) = -4 (6 + 2b) + -1(8 + b) = -4 6 + 2b + (8 * -1 + b * -1) = -4 6 + 2b + (-8 + -1b) = -4 Reorder the terms: 6 + -8 + 2b + -1b = -4 Combine like terms: 6 + -8 = -2 -2 + 2b + -1b = -4 Combine like terms: 2b + -1b = 1b -2 + 1b = -4 Solving -2 + 1b = -4 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 1b = -4 + 2 Combine like terms: -2 + 2 = 0 0 + 1b = -4 + 2 1b = -4 + 2 Combine like terms: -4 + 2 = -2 1b = -2 Divide each side by '1'. b = -2 Simplifying b = -2
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