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Simplifying 5(2b + -2) + 7b = 109 Reorder the terms: 5(-2 + 2b) + 7b = 109 (-2 * 5 + 2b * 5) + 7b = 109 (-10 + 10b) + 7b = 109 Combine like terms: 10b + 7b = 17b -10 + 17b = 109 Solving -10 + 17b = 109 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 17b = 109 + 10 Combine like terms: -10 + 10 = 0 0 + 17b = 109 + 10 17b = 109 + 10 Combine like terms: 109 + 10 = 119 17b = 119 Divide each side by '17'. b = 7 Simplifying b = 7
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