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Simplifying 34 + 6b = -2(2b + -7) Reorder the terms: 34 + 6b = -2(-7 + 2b) 34 + 6b = (-7 * -2 + 2b * -2) 34 + 6b = (14 + -4b) Solving 34 + 6b = 14 + -4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4b' to each side of the equation. 34 + 6b + 4b = 14 + -4b + 4b Combine like terms: 6b + 4b = 10b 34 + 10b = 14 + -4b + 4b Combine like terms: -4b + 4b = 0 34 + 10b = 14 + 0 34 + 10b = 14 Add '-34' to each side of the equation. 34 + -34 + 10b = 14 + -34 Combine like terms: 34 + -34 = 0 0 + 10b = 14 + -34 10b = 14 + -34 Combine like terms: 14 + -34 = -20 10b = -20 Divide each side by '10'. b = -2 Simplifying b = -2
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