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Simplifying 2(b + 2) = -4(b + 7) + -2b Reorder the terms: 2(2 + b) = -4(b + 7) + -2b (2 * 2 + b * 2) = -4(b + 7) + -2b (4 + 2b) = -4(b + 7) + -2b Reorder the terms: 4 + 2b = -4(7 + b) + -2b 4 + 2b = (7 * -4 + b * -4) + -2b 4 + 2b = (-28 + -4b) + -2b Combine like terms: -4b + -2b = -6b 4 + 2b = -28 + -6b Solving 4 + 2b = -28 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. 4 + 2b + 6b = -28 + -6b + 6b Combine like terms: 2b + 6b = 8b 4 + 8b = -28 + -6b + 6b Combine like terms: -6b + 6b = 0 4 + 8b = -28 + 0 4 + 8b = -28 Add '-4' to each side of the equation. 4 + -4 + 8b = -28 + -4 Combine like terms: 4 + -4 = 0 0 + 8b = -28 + -4 8b = -28 + -4 Combine like terms: -28 + -4 = -32 8b = -32 Divide each side by '8'. b = -4 Simplifying b = -4
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