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Simplifying 7(b + -2) = -34 + 2b Reorder the terms: 7(-2 + b) = -34 + 2b (-2 * 7 + b * 7) = -34 + 2b (-14 + 7b) = -34 + 2b Solving -14 + 7b = -34 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -14 + 7b + -2b = -34 + 2b + -2b Combine like terms: 7b + -2b = 5b -14 + 5b = -34 + 2b + -2b Combine like terms: 2b + -2b = 0 -14 + 5b = -34 + 0 -14 + 5b = -34 Add '14' to each side of the equation. -14 + 14 + 5b = -34 + 14 Combine like terms: -14 + 14 = 0 0 + 5b = -34 + 14 5b = -34 + 14 Combine like terms: -34 + 14 = -20 5b = -20 Divide each side by '5'. b = -4 Simplifying b = -4
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