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Simplifying 34 = 2(7 + -1b) 34 = (7 * 2 + -1b * 2) 34 = (14 + -2b) Solving 34 = 14 + -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. 34 + 2b = 14 + -2b + 2b Combine like terms: -2b + 2b = 0 34 + 2b = 14 + 0 34 + 2b = 14 Add '-34' to each side of the equation. 34 + -34 + 2b = 14 + -34 Combine like terms: 34 + -34 = 0 0 + 2b = 14 + -34 2b = 14 + -34 Combine like terms: 14 + -34 = -20 2b = -20 Divide each side by '2'. b = -10 Simplifying b = -10
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