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Simplifying 7(b + -2) + 2(b + 4) = 12 Reorder the terms: 7(-2 + b) + 2(b + 4) = 12 (-2 * 7 + b * 7) + 2(b + 4) = 12 (-14 + 7b) + 2(b + 4) = 12 Reorder the terms: -14 + 7b + 2(4 + b) = 12 -14 + 7b + (4 * 2 + b * 2) = 12 -14 + 7b + (8 + 2b) = 12 Reorder the terms: -14 + 8 + 7b + 2b = 12 Combine like terms: -14 + 8 = -6 -6 + 7b + 2b = 12 Combine like terms: 7b + 2b = 9b -6 + 9b = 12 Solving -6 + 9b = 12 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 9b = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 9b = 12 + 6 9b = 12 + 6 Combine like terms: 12 + 6 = 18 9b = 18 Divide each side by '9'. b = 2 Simplifying b = 2
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